[PDF] Recent Developments In Algebraic Topology eBook

Author : Samuel Gitler
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 14,5 MB
Release : 2006
Category : Mathematics
ISBN : 0821836765

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This book is an excellent illustration of the versatility of Algebraic Topology interacting with other areas in Mathematics and Physics. Topics discussed in this volume range from classical Differential Topology and Homotopy Theory (Kervaire invariant one problem) to more recent lines of research such as Topological Quantum Field Theory (string theory). Likewise, alternative viewpoints on classical problems in Global Analysis and Dynamical Systems are developed (a spectral sequence approach to normal form theory). This collection of papers is based on talks at the conference on the occasion of Sam Gitler's 70th birthday (December, 2003). The variety of topics covered in this book reflects the many areas where Sam Gitler's contributions have had an impact.

Author : Richard M. Kane
Publisher : American Mathematical Soc.
Page : 542 pages
File Size : 31,32 MB
Release : 1982-01-01
Category : Mathematics
ISBN : 9780821860038

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Proceedings of a Conference held at the University of Western Ontario in 1981. More than one hundred papers were presented by researchers from a wide spectrum of countries and institutions.

Author : C. R. F. Maunder
Publisher : Courier Corporation
Page : 414 pages
File Size : 46,71 MB
Release : 1996-01-01
Category : Mathematics
ISBN : 9780486691312

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Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated, and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. Author C.R.F. Maunder provides examples and exercises; and notes and references at the end of each chapter trace the historical development of the subject.

Author : Lucia Caporaso
Publisher : Cambridge University Press
Page : 437 pages
File Size : 28,26 MB
Release : 2012-03-19
Category : Mathematics
ISBN : 052176825X

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This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.

Author : J. P. May
Publisher : University of Chicago Press
Page : 262 pages
File Size : 40,58 MB
Release : 1999-09
Category : Mathematics
ISBN : 9780226511832

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Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Author : Allen Hatcher
Publisher : Cambridge University Press
Page : 572 pages
File Size : 29,21 MB
Release : 2002
Category : Mathematics
ISBN : 9780521795401

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An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.

Author : Andrew H. Wallace
Publisher : Courier Corporation
Page : 290 pages
File Size : 42,3 MB
Release : 2007-01-01
Category : Mathematics
ISBN : 0486462390

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Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.

Author : Mahender Singh
Publisher : Springer
Page : 313 pages
File Size : 46,69 MB
Release : 2019-02-02
Category : Mathematics
ISBN : 9811357420

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This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.

Author : Shiing-Shen Chern
Publisher : World Scientific
Page : 276 pages
File Size : 47,36 MB
Release : 2002
Category : Mathematics
ISBN : 9810249543

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The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen's interated integrals, algebraic fiber spaces, and others.