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174 results on '"Goto, Tatsuya"'

2. Game-theoretic variants of cardinal invariants

Author

Chapital, Jorge Antonio Cruz, Goto, Tatsuya, and Hayashi, Yusuke

Subjects
Mathematics - Logic
Abstract

We investigate game-theoretic variants of cardinal invariants of the continuum. The invariants we treat are the splitting number $\mathfrak{s}$, the reaping number $\mathfrak{r}$, the bounding number $\mathfrak{b}$, the dominating number $\mathfrak{d}$, and the additivity number of the null ideal $\operatorname{add}(\mathsf{null})$. By using games on splitting families, we find a new cardinal invariant that differs from previously studied cardinal invariants. We also consider games, called tallness games, defined according to ideals on $\omega$ and characterize that each of Player I and Player II has a winning strategy., Comment: 27 pages

Published
2023

4. The comparability numbers and the incomparability numbers

Author

Goto, Tatsuya

Subjects
Mathematics - Logic
Abstract

We introduce new cardinal invariants of a poset, called the comparability number and the incomparability number. We determine their value for well-known posets, such as $\omega^\omega$, $\mathcal{P}(\omega)/\mathrm{fin}$, the Turing degrees $\mathcal{D}$, the quotient algebra $\mathsf{Borel}(2^\omega)/\mathsf{null}$, the ideals $\mathsf{meager}$ and $\mathsf{null}$. Moreover, we consider these invariants for the Rudin-Keisler ordering of the nonprincipal ultrafilters on $\omega$. We also consider these invariants for ideals on $\omega$ and on $\omega_1$., Comment: 14 pages

Published
2023

5. Goldstern's principle about unions of null sets

Author

Goto, Tatsuya

Subjects
Mathematics - Logic
Abstract

Goldstern showed in his 1993 paper that the union of a real-parametrized, increasing family of Lebesgue measure zero sets has also Lebesgue measure zero provided that the sets are uniformly $\boldsymbol{\Sigma}^1_1$. Our aim is to study to what extent we can drop the $\boldsymbol{\Sigma}^1_1$ assumption. We show that $\mathsf{CH}$ implies the negation of Goldstern's principle for the pointclass of all subsets. Moreover we show that Goldstern's principle for the pointclass of all subsets is consistent with $\mathsf{ZFC}$. Also we prove that Goldstern's principle for the pointclass of all subsets holds both under $\mathsf{ZF} + \mathsf{AD}$ and in Solovay models.

Published
2022

6. Cardinal invariants associated with Hausdorff measures

Author

Goto, Tatsuya

Subjects
Mathematics - Logic
Abstract

We consider cardinal invariants determined from Hausdorff measures. We separate many cardinal invariants of Hausdorff measure $0$ ideals using two models that separate many cardinal invariants of Yorioka ideals at once from earlier work. Also we show the uniformity numbers of $s$-dimensional Hausdorff measure $0$ ideals for $0 < s < 1$ and that of Lebesgue null ideal can be separated using the Mathias forcing.

Published
2021

7. Keisler's Theorem and Cardinal Invariants

Author

Goto, Tatsuya

Subjects
Mathematics - Logic
Abstract

We consider several variants of Keisler's isomorphism theorem. We separate these variants by showing implications between them and cardinal invariants hypotheses. We characterize saturation hypotheses that are stronger than Keisler's theorem with respect to models of size $\aleph_1$ and $\aleph_0$ by $\mathrm{CH}$ and $\operatorname{cov}(\mathsf{meager}) = \mathfrak{c} \land 2^{<\mathfrak{c}} = \mathfrak{c}$ respectively. We prove that Keisler's theorem for models of size $\aleph_1$ and $\aleph_0$ implies $\mathfrak{b} = \aleph_1$ and $\operatorname{cov}(\mathsf{null}) \le \mathfrak{d}$ respectively. As a consequence, Keisler's theorem for models of size $\aleph_0$ fails in the random model. We also show that for Keisler's theorem for models of size $\aleph_1$ to hold it is not necessary that $\operatorname{cov}(\mathsf{meager})$ equals $\mathfrak{c}$.

Published
2021
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9. WED-203 Evaluation of iATT liver fat quantification for steatosis grading with reference to magnetic resonance imaging-based proton density fat fraction: a multicenter study

Author

Hirooka, Masashi, primary, Ogawa, Sadanobu, additional, Koizumi, Yohei, additional, Yoshida, Yuichi, additional, Goto, Tatsuya, additional, Yasuda, Satoshi, additional, Yamahira, Masahiro, additional, Tamai, Tsutomu, additional, Kuromatsu, Ryoko, additional, Matsuzaki, Toshihisa, additional, Suehiro, Tomoyuki, additional, Kamada, Yoshihiro, additional, Sumida, Yoshio, additional, Hiasa, Yoichi, additional, Toyoda, Hidenori, additional, and Kumada, Takashi, additional

Published
2024
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13. KEISLER'S THEOREM AND CARDINAL INVARIANTS.

Author

GOTO, TATSUYA

Subjects
HYPOTHESIS
Abstract

We consider several variants of Keisler's isomorphism theorem. We separate these variants by showing implications between them and cardinal invariants hypotheses. We characterize saturation hypotheses that are stronger than Keisler's theorem with respect to models of size $\aleph _1$ and $\aleph _0$ by $\mathrm {CH}$ and $\operatorname {cov}(\mathsf {meager}) = \mathfrak {c} \land 2^{ respectively. We prove that Keisler's theorem for models of size $\aleph _1$ and $\aleph _0$ implies $\mathfrak {b} = \aleph _1$ and $\operatorname {cov}(\mathsf {null}) \le \mathfrak {d}$ respectively. As a consequence, Keisler's theorem for models of size $\aleph _0$ fails in the random model. We also show that for Keisler's theorem for models of size $\aleph _1$ to hold it is not necessary that $\operatorname {cov}(\mathsf {meager})$ equals $\mathfrak {c}$. [ABSTRACT FROM AUTHOR]

Published
2024
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28. Usefulness of Comprehensive Cancer-related Gene Mutation Analysis in Surgery for Adenocarcinoma of the Lung

Author

Goto, Tatsuya

Subjects
肺腺癌, ペメトレキセド, 次世代シークエンサー, サイクリン依存性キナーゼ阻害因子1B, サイクリン依存性キナーゼ阻害因子2B
Abstract

【目的】次世代シークエンサー(NGS)の出現により癌関連遺伝子変異・転座の網羅的な検出が可能になった．しかしながら，非小細胞肺癌患者において再発・予後などに関連する臨床的に重要な癌関連遺伝子変異は完全には解明されていない．本研究では，NGSを用いて癌関連遺伝子変異の検索を行い，手術後の再発・予後および再発時の化学療法効果予測の観点から肺腺癌患者において臨床的に有用な癌関連遺伝子変異を明らかにすることを目的とした．【対象・方法】2008年1月から2014年12月までに新潟大学医歯学総合病院で原発性肺癌に対して手術が施行された患者の中で，以下の適格規準を満たす患者から任意に対象を選択した．①肺葉切除術以上が施行され完全切除であった，②ホルマリン固定パラフィン包埋切片で20%以上の腫瘍部分が存在した，③胸部薄切CTで腫瘍最大径に対する充実濃度の割合が0.5以上であった，④150ng以上のDNAが抽出できた．最終的に63例が本研究の対象となった．癌関連遺伝子変異・臨床病理学的因子の再発・予後への影響と，癌関連遺伝子変異の有無で再発時化学療法の効果予測ができるかを統計学的に検討した．【結果】術後観察期間中央値は62.8ヶ月で，男性43例／女性20例，年齢中央値66歳であった．単変量解析で，サイクリン依存性キナーゼ阻害因子2B(CDKN2B)野生型が変異型と比較して無再発生存率が有意に高かったが，全生存率では有意差を認めなかった．多変量解析では，病理学的StageⅢ期(ハザード比2.218, p=0.020)とCDKN2B変異型(ハザード比2.814, p=0.002)が独立した再発予測因子であった全生存に対してはイベント数が少なく多変量解析は行えなかった．再発治療に関して13例でペメトレキセドが投与されていたが，サイクリン依存性キナーゼ阻害囚子1B(CDKN1B)変異型が野生型と比較して無増悪生存期間が有意に長く，それぞれの無増悪生存期間中央値は18.0ヶ月と4.1ヶ月であった(p=0.014)．奏功割合はCDKN1B変異型では5例中3例(60%)でCDKN1B野生型では8例中2例(25%)であった．PDが4例であったが，全例CDKN1B野生型であった．【結論］肺腺癌患者において，CDKN2B変異型が術後再発予測因子である可能性とCDKN1B野生型がペメトレキセド治療抵抗性予測に有用な可能性が示唆された．NGSはドライバー遺伝子変異・転座だけでなく，CDKN1B変異型やCDKN2B変異型のような臨床的に重要な可能性のある遺伝子変異の同定も可能である．

Published
2021

31. Direct measurement of the 7Be(n, α)4 He reaction cross sections for the cosmological Li problem

Author

Kawabata Takahiro, Fujikawa Yuki, Furuno Tatsuya, Goto Tatsuya, Hashimoto Toshikazu, Ichikawa Masaya, Itoh Makoto, Iwasa Naohito, Kanada-En'yo Yoshiko, Koshikawa Ami, Kubono Shigeru, Miyawaki Eisuke, Mizuno Masatoshi, Mizutani Keigo, Morimoto Takahiro, Murata Motoki, Nanamura Takuya, Nishimura Shunji, Okamoto Shintaro, Sakaguchi Yuichi, Sakata Itsushi, Sakaue Akane, Sawada Ryo, Shikata Yuki, Takahashi Yu, Takechi Daiki, Takeda Tomoya, Takimoto Chisato, Tsumura Miho, Watanabe Ken, and Yoshida Sota

Subjects
Physics, QC1-999
Abstract

The cross sections of the 7Be(n, α)4He reaction for p-wave neutrons were experimentally determined at Ec.m. = 0.20−0.81 MeV close to the Big Bang nucleosynthesis (BBN) energy window for the first time on the basis of the detailed balance principle by measuring the time-reverse reaction. The obtained cross sections are much larger than the cross sections for s-wave neutrons inferred from the recent measurement at the n_TOF facility in CERN, but significantly smaller than the theoretical estimation widely used in the BBN calculations. The present results suggest the 7Be(n, α)4 He reaction rate is not large enough to solve the cosmological lithium problem

Published
2017
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43. A multicenter prospective observational study of the safety and prognosis of lung cancer patients with idiopathic pulmonary fibrosis following surgery: Niigata Chest Surgery Study Group

Author

Goto, Tatsuya, primary, Kitahara, Akihiko, additional, Sato, Seijiro, additional, Koike, Terumoto, additional, Okada, Akira, additional, Suda, Kazuharu, additional, Furuyashiki, Tsuyoshi, additional, Aoki, Tadashi, additional, Yoshiya, Katsuo, additional, Yamato, Yasusi, additional, Koike, Teruaki, additional, and Tsuchida, Masanori, additional

Published
2018
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