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342 results

1. Papers on Topology

Author

Henri Poincaré and Henri Poincaré

Abstract

These famous papers, with their characteristic mixture of deep insight and inevitable confusion, are here presented complete and in English for the first time, with a commentary by their translator, John Stillwell, that guides the reader into the heart of the subject. One of the finest works of one of the great mathematicians is now available anew for students and experts alike. —Jeremy Gray The AMS and John Stillwell have made an important contribution to the mathematics literature in this translation of Poincaré. For many of us, these great papers on the foundations of topology are given greater clarity in English. Moreover, reading Poincaré here illustrates the ultimate in research by successive approximations (akin to my own way of mathematical thinking). — Stephen Smale I am a proud owner of the original complete works in green leather in French bought for a princely sum in Paris around 1975. I have read them extensively, and often during topology lectures I refer to parts of these works. I am happy that there is now the option for my students to read them in English. —Dennis Sullivan The papers in this book chronicle Henri Poincaré's journey in algebraic topology between 1892 and 1904, from his discovery of the fundamental group to his formulation of the Poincaré conjecture. For the first time in English translation, one can follow every step (and occasional stumble) along the way, with the help of translator John Stillwell's introduction and editorial comments. Now that the Poincaré conjecture has finally been proved, by Grigory Perelman, it seems timely to collect the papers that form the background to this famous conjecture. Poincaré's papers are in fact the first draft of algebraic topology, introducing its main subject matter (manifolds) and basic concepts (homotopy and homology). All mathematicians interested in topology and its history will enjoy this book. This volume is one of an informal sequence of works within the History of Mathematics series. Volumes in this subset, “Sources”, are classical mathematical works that served as cornerstones for modern mathematical thought.

Published
2015

2. Eleven Papers on Topology

Author

A. V. Arhangel′skiĭ, P. K. Belobrov, A. V. Černavskiĭ, A. S. Grek, S. D. Liao, F. I. Šmidov, A. B. Sosinskiĭ, N. V. Veličko, Wu Wen-jun, A. V. Arhangel′skiĭ, P. K. Belobrov, A. V. Černavskiĭ, A. S. Grek, S. D. Liao, F. I. Šmidov, A. B. Sosinskiĭ, N. V. Veličko, and Wu Wen-jun

Published
2016

3. Four Papers on Topology

Author

M. F. Bokšteĭn, L. S. Pontryagin, M. M. Postnikov, Wu Wen-sün, M. F. Bokšteĭn, L. S. Pontryagin, M. M. Postnikov, and Wu Wen-sün

Published
2016

4. Knots, Braids, and Mapping Class Groups—Papers Dedicated to Joan S. Birman

Author

Jane Gilman, William W. Menasco, Xiao-Song Lin, Jane Gilman, William W. Menasco, and Xiao-Song Lin

Abstract

There are a number of specialties in low-dimensional topology that can find in their “family tree” a common ancestry in the theory of surface mappings. These include knot theory as studied through the use of braid representations and 3-manifolds as studied through the use of Heegaard splittings. The study of the surface mapping class group (the modular group) is of course a rich subject in its own right, with relations to many different fields of mathematics and theoretical physics. But its most direct and remarkable manifestation is probably in the vast area of low-dimensional topology. Although the scene of this area has been changed dramatically and experienced significant expansion since the original publication of Professor Joan Birman's seminal work, Braids, Links, and Mapping Class Groups (Princeton University Press), she brought together mathematicians whose research span many specialties, all of common lineage. The topics covered are quite diverse. Yet they reflect well the aim and spirit of the conference in low-dimensional topology held in honor of Joan S.Birman's 70th birthday at Columbia University (New York, NY), which was to explore how these various specialties in low-dimensional topology have diverged in the past 20–25 years, as well as to explore common threads and potential future directions of development.

Published
2017

6. Fourteen Papers on Logic, Geometry, Topology and Algebra

Author

G. S. Ceĭtin, A. V. Cernavskiĭ, I. F. Donin, G. E. Minc, V. P. Orevkov, B. M. Šaĭn, A. O. Slisenko, Ju. Ju. Trohinčuk, A. L. Vermer, G. S. Ceĭtin, A. V. Cernavskiĭ, I. F. Donin, G. E. Minc, V. P. Orevkov, B. M. Šaĭn, A. O. Slisenko, Ju. Ju. Trohinčuk, and A. L. Vermer

Published
2016

7. Eleven Papers on Logic, Algebra, Analysis and Topology

Author

I. U. Bronšteĭn, B. M. Budak, E. P. Dolženko, I. C. Gohberg, M. G. Kreĭn, O. N. Macedonskaja, S. Ju. Maslov, A. N. Šarkovskiĭ, Ju. L. Šmul′jan, M. S. Stavskiĭ, I. U. Bronšteĭn, B. M. Budak, E. P. Dolženko, I. C. Gohberg, M. G. Kreĭn, O. N. Macedonskaja, S. Ju. Maslov, A. N. Šarkovskiĭ, Ju. L. Šmul′jan, and M. S. Stavskiĭ

Published
2016

8. Seventeen Papers on Topology and Differential Geometry

Author

A. M. Ančikov, A. V. Arhangel′skiĭ, S. M. Bahrah, H. Cišang, L. N. Krivonosov, Ju. G. Lumiste, P. I. Petrov, K. Š. Ramazanova, E. G. Skljarenko, Su Bu-chin, V. I. Vedernikov, N. Veličko, Wu Wen-tsün, A. M. Ančikov, A. V. Arhangel′skiĭ, S. M. Bahrah, H. Cišang, L. N. Krivonosov, Ju. G. Lumiste, P. I. Petrov, K. Š. Ramazanova, E. G. Skljarenko, Su Bu-chin, V. I. Vedernikov, N. Veličko, and Wu Wen-tsün

Published
2016

9. Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry

Author

V. P. Kompaniec, B. T. Levšenko, P. A. Medvedev, I. P. Mitjuk, A. F. Mutylin, M. A. Naĭmark, A. L. Oniščik, B. A. Pasynkov, P. I. Petrov, R. S. Pokazeeva, V. Z. Poljakov, Ja. G. Sinaĭ, A. S. Švarc, A. N. Tjurin, V. E. Voskresenskiĭ, V. P. Kompaniec, B. T. Levšenko, P. A. Medvedev, I. P. Mitjuk, A. F. Mutylin, M. A. Naĭmark, A. L. Oniščik, B. A. Pasynkov, P. I. Petrov, R. S. Pokazeeva, V. Z. Poljakov, Ja. G. Sinaĭ, A. S. Švarc, A. N. Tjurin, and V. E. Voskresenskiĭ

Published
2016

10. Fourteen Papers Translated from the Russian

Author

A. Ya. Aĭzenshtat, V. V. Baranov, B. M. Bil′man, V A Bondarenko, G F Kushner, B K Boguta, V. I. Malykhin, Yu. V. Mel′nichuk, B. V. Novikov, N. S. Podtsykin, B. È. Shapirovskiĭ, V. V. Sharko, V. P. Soltan, G. D. Suvorov, A. V. Zarelua, A. Ya. Aĭzenshtat, V. V. Baranov, B. M. Bil′man, V A Bondarenko, G F Kushner, B K Boguta, V. I. Malykhin, Yu. V. Mel′nichuk, B. V. Novikov, N. S. Podtsykin, B. È. Shapirovskiĭ, V. V. Sharko, V. P. Soltan, G. D. Suvorov, and A. V. Zarelua

Abstract

Focuses primarily on topics in algebra and topology.

Published
2016

11. Thirteen Papers on Algebra, Topology, Complex Variables, and Linear Programming

Author

I. E. Bazilevič, V. G. Boltjanskiĭ, D. K. Faddeev, E. I. Filippovič, V. I. Gavrilov, Ja. L. Geronimus, O. M. Kozlov, V. L. Levin, S. P. Novikov, V. V. Proizvolov, V. A. Rohlin, A. V. Roĭter, P. S. Soltan, V. S. Vladimirov, O. N. Vvedenskiĭ, I. E. Bazilevič, V. G. Boltjanskiĭ, D. K. Faddeev, E. I. Filippovič, V. I. Gavrilov, Ja. L. Geronimus, O. M. Kozlov, V. L. Levin, S. P. Novikov, V. V. Proizvolov, V. A. Rohlin, A. V. Roĭter, P. S. Soltan, V. S. Vladimirov, and O. N. Vvedenskiĭ

Published
2016

12. Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology

Author

A. N. Andrianov, V. A. Dem′janenko, S. P. Demuškin, N. V. Efimov, N. I. Fel′dman, M. I. Graev, S. A. Juzvinskiĭ, A. I. Kostrikin, A. I. Lapin, S. P. Novikov, V. P. Platonov, T. A. Tuškina, R. T. Vol′vačev, A. N. Andrianov, V. A. Dem′janenko, S. P. Demuškin, N. V. Efimov, N. I. Fel′dman, M. I. Graev, S. A. Juzvinskiĭ, A. I. Kostrikin, A. I. Lapin, S. P. Novikov, V. P. Platonov, T. A. Tuškina, and R. T. Vol′vačev

Published
2016

13. Twelve Papers on Algebra, Number Theory and Topology

Author

M. S. Calenko, S. P. Demuškin, N. I. Fel$’$dman, A. H. Livšic, A. P. Novikov, B. D. Romm, I. R. Šafarevič, L. N. Ševrin, E. G. Skljarenko, E. G. Šul$’$geĭfer, I. M. Vinogradov, M. S. Calenko, S. P. Demuškin, N. I. Fel$’$dman, A. H. Livšic, A. P. Novikov, B. D. Romm, I. R. Šafarevič, L. N. Ševrin, E. G. Skljarenko, E. G. Šul$’$geĭfer, and I. M. Vinogradov

Published
2016

14. Eleven Papers on Topology and Algebra

Author

T. M. Baranovič, M. F. Bokšteĭn, A. I. Kostrikin, A. P. Mišina, A. L. Oniščik, I. I. Pjateckiĭ-Šapiro, A. L. Šmel′kin, A. S. Švarc, E. S. Tihomirova, Ju. R. Vaĭnberg, A. V. Zarelua, T. M. Baranovič, M. F. Bokšteĭn, A. I. Kostrikin, A. P. Mišina, A. L. Oniščik, I. I. Pjateckiĭ-Šapiro, A. L. Šmel′kin, A. S. Švarc, E. S. Tihomirova, Ju. R. Vaĭnberg, and A. V. Zarelua

Published
2016

15. Twelve Papers on Topology, Algebra and Number Theory

Author

V. A. Andrunakievič, V. B. Dem′janov, V. P. Elizarov, I. M. Gel′fand, I. C. Gohberg, Ju. A. Kaz′min, L. V. Keldyš, V. Kuz′minov, A. S. Markus, E. V. Novoselov, B. I. Plotkin, M. M. Postnikov, G. E. Šilov, V. A. Andrunakievič, V. B. Dem′janov, V. P. Elizarov, I. M. Gel′fand, I. C. Gohberg, Ju. A. Kaz′min, L. V. Keldyš, V. Kuz′minov, A. S. Markus, E. V. Novoselov, B. I. Plotkin, M. M. Postnikov, and G. E. Šilov

Published
2016

16. Sixteen Papers on Topology and One on Game Theory

Author

Chow Sho-kwan, V. I. Ponomarev, Ju. M. Smirnov, N. N. Vorob′ev, Wu Wen-jun, Wu Zwao-jen, Zhang Su-cheng, Chow Sho-kwan, V. I. Ponomarev, Ju. M. Smirnov, N. N. Vorob′ev, Wu Wen-jun, Wu Zwao-jen, and Zhang Su-cheng

Published
2016

17. Fourteen Papers on Logic, Algebra, Complex Variables and Topology

Author

L. M. Abramov, V. S. Černjavskiĭ, E. S. Golod, T. D. Maĭstrova, A. I. Mal′cev, S. P. Novikov, B. I. Penkoy, V. A. Rohlin, I. R. Šafarevič, V. V. Sazonov, B. H. Sendov, V. I. Šestakov, A. S. Švarc, V. S. Varadarain, V. S. Vladimirov, L. M. Abramov, V. S. Černjavskiĭ, E. S. Golod, T. D. Maĭstrova, A. I. Mal′cev, S. P. Novikov, B. I. Penkoy, V. A. Rohlin, I. R. Šafarevič, V. V. Sazonov, B. H. Sendov, V. I. Šestakov, A. S. Švarc, V. S. Varadarain, and V. S. Vladimirov

Published
2016

19. Twelve Papers on Analysis, Applied Mathematics and Algebraic Topology

Author

E. A. Barbašin, V. A. Borovikov, S. K. Godunov, V. A. Jakubovič, A. S. Kovan′ko, O. A. Ladyženskaja, V. A. Marčenko, V. K. Mel′nikov, A. L. Oniščik, V. A. Pliss, E. A. Barbašin, V. A. Borovikov, S. K. Godunov, V. A. Jakubovič, A. S. Kovan′ko, O. A. Ladyženskaja, V. A. Marčenko, V. K. Mel′nikov, A. L. Oniščik, and V. A. Pliss

Published
2016