Allen Hatcher. Note: I have retired from teaching and advising students but am still active in research and writing. The best way to contact me is via email. If I do not respond in a timely fashion it is because I have nothing useful or definite to say.

A downloadable textbook in algebraic topology. What's in the Book? To get an idea you can look at the Table of Contents and the Preface.. Printed Version: The book was published by Cambridge University Press in 2002 in both paperback and hardback editions, but only the paperback version is still available (ISBN 0-521-79540-0). I have tried to keep the price of the …

Preface xi Eilenberg and Zilber in 1950 under the name of semisimplicial complexes. Soon after this, additional structure in the form of certain ‘degeneracy maps’ was introduced,

2 Introduction M¨obius bundleis the product S1×R2, as one can see by embedding two M¨obius bands in a solid torus so that they intersect orthogonally along the common core circle of both bands, which is also the core circle of the solid torus.

Names: Hatcher, Allen, author. Title: Topology of numbers / Allen Hatcher Description: Providence, Rhode Island : American Mathematical Society, [2022] | Includes bibliograph-ical references and index. Identifiers: LCCN 2022021573 | ISBN 9781470456115 (paperback)

A downloadable textbook in algebraic topology. The plan is for this to be a fairly short book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes.

Here are pdf files for the individual chapters of the book. To get enough material for a one-semester introductory course you could start by downloading just Chapters 0, 1, and 2, along with the Table of Contents, Bibliography and Index.

Home » Allen Hatcher Mathematics Library • Math Support Center • Center for Applied Mathematics • CUInfo • π Department of Mathematics · 310 Malott Hall · Cornell University · Ithaca, NY USA 14853 · Tel: +1-607-255-4013 · Fax: +1-607-255-7149

Chapter 4. Homotopy Theory.....337 4.1. Homotopy Groups.....339 Definitions and Basic Constructions 340. Whitehead’s Theorem 346. Cellular Approximation 348. CW Approximation 352.

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