Homotopical Topology

AvAnatoly Fomenko,Dmitry Fuchs

Inbunden, Engelska, 2016

Del 273 i serien Graduate Texts in Mathematics

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Häftad

820 kr

Beskrivning

This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is difficult to obtain. Therefore, this updated English edition will be much welcomed by the mathematical community. Distinctive features of this book include: a concise but fully rigorous presentation, supplemented by a plethora of illustrations of a high technical and artistic caliber; a huge number of nontrivial examples and computations done in detail; a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology; an extensive, and very concrete, treatment of the machinery of spectral sequences. The second edition contains an entirely new chapter on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).

Produktinformation

Utgivningsdatum:2016-07-05
Mått:157 x 234 x 38 mm
Vikt:1 022 g
Format:Inbunden
Språk:Engelska
Serie:Graduate Texts in Mathematics
Antal sidor:627
Upplaga:2
Förlag:Springer International Publishing AG
ISBN:9783319234878
Originaltitel:Homotopic Topology

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematikens grunder inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

Anatoly Timofeevich Fomenko is Chair of Differential Geometry and Applications in the Department of Mathematics and Mechanics at Lomonosov Moscow State University. He is a full member of the Russian Academy of Sciences, and a member of the Moscow Mathematical Society. He is the author of several books, including Visual Geometry and Topology, Modeling for Visualization (with T.L. Kunii), and Modern Geometry: Methods and Applications (with B.A. Dubrovin and S.P. Novikov). Dmitry Borisovich Fuchs is Professor Emeritus of Mathematics at the University of California, Davis. He earned his C.Sc. from Moscow State University, and his D.Sc. at Tblisi State University. His research interests include topology and the theory of foliations, homological algebra, and representation theory. His main body of work deals with representations and cohomology of infinite-dimensional Lie algebras. This work has consequences in string theory and conformal quantum field theory as codified in the mathematical theory of vertex operator algebras. He is the author of over 25 articles, and has served as thesis advisor to several well-known mathematicians, including Boris Feigin, Fedor Malikov, and Vladimir Rokhlin.

Recensioner i media

"This book covers all the basic material necessary for complete understanding of the fundamentals of algebraic topology ... . This increase in the number of topics has made the book more convenient for serious students not only to extend their knowledge but also to gain insight into the interplay between these three subjects. ... This book is designed to help students to select the level of learning subjects they want to reach ... ." (Haruo Minami, zbMATH 1346.55001, 2016)

Innehållsförteckning

Introduction.- Homotopy.- Homology.- Spectral Sequences of Fibrations.- Cohomology Operations.- The Adams Spectral Sequence.- K-Theory and Other Extraordinary Cohomology Theories.