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Structures with arrays of planar and tilted quasi-one-dimensional GaAs nanocrystals have been grown on GaAs(001) substrates. An epitaxial silicon layer oxidized in air was used as a passivation coating. The amount of silicon deposited varied from structure to structure and was equivalent to 1, 2, 4, and 6 atomic layers. It has been found that in the case of a passivation layer based on silicon with a thickness of 1 atomic layer, an array of planar nanocrystals is formed, and in other cases, inclined quasi-one-dimensional nanocrystals. Nanocrystals are surrounded by crystallites, the shape, size, orientation, and distribution density of which change with the amount of silicon. The lowest density of crystallites was achieved with a silicon layer 6 atomic layers thick. Keywords: molecular-beam epitaxial, GaAs, Si, quasi-one-dimensional nanocrystals, vapour-liquid-crystal.

The article is devoted to the participation of representatives of the Sverdlovsk intelligentsia as candidates in the elections of People’s Deputies of the USSR in 1989. It examines elections in three electoral districts: two territorial (Leninsky No. 292 and Kirovsky No. 293) and one national-territorial (Sverdlovsky No. 25). Based on the analysis of election programs, the candidates were divided into three camps: democratic, centrist and orthodox-communist. It is concluded that representatives of the scientific and technical intelligentsia belonged to the centrist and orthodox communist camp, and the representatives of the humanitarian intelligentsia belonged to the camp of democrats. Статья посвящена участию представителей свердловской интеллигенции в качестве кандидатов на выборах народных депутатов СССР в 1989 г. В ней рассмотрены выборы по трём избирательным округам: двум территориальным (Ленинскому № 292 и Кировскому № 293) и одному национально-территориальному (Свердловскому № 25). На основании анализа предвыборных программ проведено разделение кандидатов на три лагеря: демократический, центристский и ортодоксально-коммунистический. Сделан вывод, что представители научно-технической интеллигенции принадлежали к центристскому и ортодоксально-коммунистическому лагерю, а представители гуманитарной интеллигенции – к лагерю демократов. Статья подготовлена при поддержке РФФИ и Правительства Свердловской области, проект № 20-49-660015 «Екатеринбург-Свердловск как интеллектуальный центр России в эпоху промышленного модерна: вехи становления (конец XIX – конец XX в.)».

We characterize vector lattices in which unbounded order convergence is eventually order bounded. Among other things, the characterization provides a solution to \cite[Probl.23]{Az}., Comment: It is a part of a project an it could be included to one/two papers

Let be a net in a locally solid vector lattice; we say that is unbounded-convergent to a vector if\(| x_\alpha-x|\wedge w\xrightarrow {\tau} 0\) for all. In this paper, we study general properties of unbounded-convergence (shortly-convergence).-convergence generalizes unbounded norm convergence and unbounded absolute weak convergence in normed lattices that have been investigated recently. We introduce-topology and briefly study metrizability and completeness of this topology.

on the occas'ion of hi,s 65th anniuersary Various convergences in vector lattices were historicalll' a subject of deep investigation v'hich stems from the begining of the 20th century in works of Riesz, Kantorovich, Nakano, !'ulikh, Zanen, a',d marl)/ other mathematicians. The stud,v of the unbounded order convergence had been initiated b5' Nakano in late 40th in connection with Birkhoff's ergodic theorem. The idea of Nakano $-as to define the almost everywhere convergence in terms of lattice operations without the direct use of measure theory. Many years later it was recognised that the unbounded order convergence is also rathe useful in probability theory. Since then. the idea of investigating of convergences by using their unbounded versions, have been exploited in several papers. For instance, unbounded convergences in vector lattices have attracted attention of many researchers in order to find nes' approaches to r,-arious problems of functional analysis, operator theorl', variational caicuius, theory of risk measures in mathematical finance, stochastic processes, etc. Some of those unbounded convergences, like unbounded norm convergence. unbounded multi-norm convergence. unbounded r-convergence are topological. Others are not topological in general, for example: the unbounded order convergence, the unbounded relative uniform convergence) various unbounded convergences in lattice-normed lattices, etc. Topological convergences are. as usual, more flexible for an investigation due to the compactness arguments, etc. The non-topological convergences axe more complicated in genelal, as it can be seen on an example of the a.e-convergence. In the present paper we present recent developments in convergence vector lattices with emphasis on reiated unbounded convergences. Special attention is paid to the case of con\rergence in lattice multi pseudo normed vector lattices that generalizes most of cases which were discussed in the literature in the last 5 vears.

Let be a separating family of lattice seminorms on a vector lattice X, then is called a multi-normed vector lattice (or MNVL). We write if for all . A net in an MNVL is said to be unbounded m-convergent (or um-convergent) to x if for all . um-Convergence generalizes un-convergence (Deng et al. in Positivity 21:963–974, 2017; Kandić et al. in J Math Anal Appl 451:259–279, 2017) and uaw-convergence (Zabeti in Positivity, 2017. doi: 10.1007/s11117-017-0524-7 ), and specializes up-convergence (Aydın et al. in Unbounded p-convergence in lattice-normed vector lattices. arXiv:1609.05301 ) and -convergence (Dabboorasad et al. in -Convergence in locally solid vector lattices. arXiv:1706.02006v3 ). um-Convergence is always topological, whose …

Several Koml\'os like properties in Banach lattices are investigated. We prove that $C(K)$ fails the $oo$-pre-Koml\'os property, assuming that the compact Hausdorff space $K$ has a nonempty separable open subset $U$ without isolated points such that every $u\in U$ has countable neighborhood base. We prove also that for any infinite dimensional Banach lattice $E$ there is an unbounded convex $uo$-pre-Koml\'os set $C\subseteq E_+$ which is not $uo$-Koml\'os., Comment: 8 pages

Let $x_\alpha$ be a net in a locally solid vector lattice $(X,\tau)$; we say that $x_\alpha$ is unbounded $\tau$-convergent to a vector $x\in X$ if $\lvert x_\alpha-x \rvert\wedge w \xrightarrow{\tau} 0$ for all $w\in X_+$. In this paper, we study general properties of unbounded $\tau$-convergence (shortly, $u\tau$-convergence). $u\tau$-Convergence generalizes unbounded norm convergence and unbounded absolute weak convergence in normed lattices that have been investigated recently. Besides, we introduce $u\tau$-topology and study briefly metrizabililty and completeness of this topology.

In this note, we show that the order convergence in a vector lattice is not topological unless . Furthermore, we show that, in atomic order continuous Banach lattices, the order convergence is topological on order intervals. Subjects: Functional Analysis (math. FA) MSC classes: 46A16, 46A40, 46B30 Cite as: arXiv: 1705.09883 [math. FA] (or arXiv: 1705.09883 v1 [math. FA] for this version) Submission history From: Yousef Dabboorasad [view email] [v1] Sun, 28 May 2017 01: 38: 39 GMT (6kb)

Let $x_��$ be a net in a locally solid vector lattice $(X,��)$; we say that $x_��$ is unbounded $��$-convergent to a vector $x\in X$ if $\lvert x_��-x \rvert\wedge w \xrightarrow�� 0$ for all $w\in X_+$. In this paper, we study general properties of unbounded $��$-convergence (shortly, $u��$-convergence). $u��$-Convergence generalizes unbounded norm convergence and unbounded absolute weak convergence in normed lattices that have been investigated recently. Besides, we introduce $u��$-topology and study briefly metrizabililty and completeness of this topology.

Let $\mathcal{M}=\{m_\lambda\}_{\lambda\in\Lambda}$ be a separating family of lattice seminorms on a vector lattice $X$, then $(X,\mathcal{M})$ is called a multi-normed vector lattice (or MNVL). We write $x_\alpha \xrightarrow{\mathrm{m}} x$ if $m_\lambda(x_\alpha-x)\to 0$ for all $\lambda\in\Lambda$. A net $x_\alpha$ in an MNVL $X=(X,\mathcal{M})$ is said to be unbounded $m$-convergent (or $um$-convergent) to $x$ if $\lvert x_\alpha-x \rvert\wedge u \xrightarrow{\mathrm{m}} 0$ for all $u\in X_+$. $um$-Convergence generalizes $un$-convergence \cite{DOT,KMT} and $uaw$-convergence \cite{Zab}, and specializes $up$-convergence \cite{AEEM1} and $u\tau$-convergence \cite{DEM2}. $um$-Convergence is always topological, whose corresponding topology is called unbounded $m$-topology (or $um$-topology). We show that, for an $m$-complete metrizable MNVL $(X,\mathcal{M})$, the $um$-topology is metrizable iff $X$ has a countable topological orthogonal system. In terms of $um$-completeness, we present a characterization of MNVLs possessing both Lebesgue's and Levi's properties. Then, we characterize MNVLs possessing simultaneously the $\sigma$-Lebesgue and $\sigma$-Levi properties in terms of sequential $um$-completeness. Finally, we prove that any $m$-bounded and $um$-closed set is $um$-compact iff the space is atomic and has Lebesgue's and Levi's properties.

A net $x_\alpha$ in a lattice-normed vector lattice $(X,p,E)$ is unbounded $p$-convergent to $x\in X$ if $p(|x_\alpha-x|\wedge u)\xrightarrow{o} 0$ for every $u\in X_+$. This convergence has been investigated recently for $(X,p,E)=(X,\lvert\cdot \rvert,X)$ under the name of $uo$-convergence, for $(X,p,E)=(X,\lVert\cdot\rVert,{\mathbb R})$ under the name of $un$-convergence, and also for $(X,p,{\mathbb R}^{X^*})$, where $p(x)[f]:=|f|(|x|)$, under the name $uaw$-convergence. In this paper we study general properties of the unbounded $p$-convergence.

Рукопись поступила в редакцию 21 августа 2015 г. В статье рассматривается использование концепции «свободного вассалитета», созданной советским историком Н. В. Устюговым, в диссертации на соискание степени доктора гуманитарных наук, написанной французским историком Р. Порталем. Анализируется восприятие Порталем концептуальных положений статьи Устюгова «Башкирское восстание 1662–1664 гг»; показываются заимствования в диссертации Порталя из статьи Устюгова; исследуются различия в трактовке событий башкирской истории XVII в. в работах Устюгова и Порталя; выделяются причины, обусловившие следование французского историка работам советского автора. The article focuses on the use of the notion “free vassal relations” coined by the Soviet historian N. V. Ustjugov, which was used in the doctoral dissertation of the French historian R. Portal. R. Portal’s interpretation of main theses given in Ustjugov’s article “Bashkir Rebellion in 1662-1664” is analyzed; the appropriation of certain ideas is demonstrated; the difference in assessing the Bashkir history of the seventeenth century by Ustjugov and by Portal is investigated; the reasons for the French historian’s reliance on the work of the Soviet author are discussed.

В статье рассматриваются взгляды на остзейский вопрос, выраженные на страницах газет И. С. Аксакова «День» и «Москва». Анализируется влияние внешне- и внутриполитических факторов на формирование этих взглядов и проводится их сопоставление с позицией других печатных изданий по данному вопросу. Views on Baltic question, written in the newspapers “The Day” and “Moscow” of I. S. Aksakov are considered. The influence of external and internal political factors on the formation of these views is analyzed, and their comparison to the position of other printed sources concerning this question is provided. Исследование выполнено в рамках гранта Президента РФ № МК-2579.2013.6. Тема: «Социальная и политическая философия поздних славя­нофилов: между либерализмом и консерватизмом».

В статье рассматривается изучение Н. В. Устюговым законодательной основы и юридической практики увольнения крепостных крестьян в вольные хлебопашцы. Раскрывается история его работы над данной темой, и выявляются причины прекращения его исследований по ней. Показывается несоответствие методологии работ Устюгова по данной теме основным положениям советского марксизма. The article deals with the study conversion of serfs to free agriculturalists by N. V. Ustjugov. The author considers history of his research on this theme. The article demonstrates disrepancy between the N. V. Ustjugov’s works and the official Soviet ideology.

The research is devoted to a so-called epoch of the Slavic renaissance which covered first the Austrian empire’s Slavic areas in the turn of the XVIII-XIX centuries. The Slavic studies scholar and diplomat Alexander Fyodorovich Gilferding (1831–1872) belonged to the younger generation of the Slavophiles showing in Russia the greatest interest to the national movements in Slavic lands. A number of articles in which the question on the Slavic people status in the Austrian empire was touched upon was written by him. The views on the Slavic question of the well-known historian and ethnographer A. F. Gilferding are reconstructed on the basis of his essays. The historical context of formation of these views is revealed and their interrelation with a religious and philosophical component of the Slavophile doctrine is analyzed. It is proved that Gilferding relied, on the one hand, on ideas of the Slavophile, and on the other hand on ideas of the Pan-Slavism. In the articles he emphasized that the Pan-Slavism consists not only in rapprochement of the Slavic peoples, but also in development of the national Slavic principles in each Slavic land, which are best of all remained in Russia. Gilferding’s views were well accepted by Russian Slavic studies scholars, however they did not find support among the Austrian Slavs Исследование посвящено так называемой эпохе Славянского возрождения, первоначально охватившего славянские области Австрийской империи на рубеже XVIII–XIX вв. К представителям младшего поколения славянофилов, проявлявших в России наибольший интерес к национальным движениям в славянских землях, принадлежал учёный-славяновед и дипломат Александр Фёдорович Гильфердинг (1831–1872). Им был написан ряд статей, в которых затрагивался вопрос о статусе славянских народов в Австрийской империи. На основе публицистики известного историка и этнографа А. Ф. Гильфердинга реконструируются его взгляды на славянский вопрос. Выявляется исторический контекст формирования данных взглядов и анализируется их взаимосвязь с религиозно-философской составляющей славянофильского учения. Доказывается, что Гильфердинг опирался, с одной стороны, на идеи славянофильства, а с другой – на идеи панславизма. В своих статьях он подчеркивал, что панславизм заключается не только в сближении славянских народов, но и в развитии в каждой славянской земле народных славянских начал, лучше всего сохранившихся в России. Воззрения Гильфердинга были хорошо приняты отечественными славяноведами, однако не нашли поддержки среди австрийских славян

The article studies the views of Ivan Aksakov and Nikolay Kostomarov on the national question in the Western Krai basing on their letters to each other and analyzes the historical context of their correspondence. It is shown how the letters under study reflected the competition between the Russian and Ukrainian national projects outlined by Aksakov and Kostomarov respectively. The author also covers the views of the both correspondents on the Polish national project which was opposed to the abovementioned conceptions of the nation building На материале писем И. С. Аксакова и Н. И. Костомарова рассматриваются их взгляды на национальный вопрос в Западном крае и анализируется исторический контекст данной переписки. Показывается, как в изучаемых письмах отразилось соперничество русского и украинского национальных проектов, изложенных, соответственно, Аксаковым и Костомаровым. Рассматриваются также взгляды обоих корреспондентов на польский национальный проект, враждебный вышеназванным концепциям национального строительства