Algebraic Topology Book Cornell University

Bonisiwe Shabane

-Nov 1, 2025, 9:15 PM

algebraic topology book cornell university

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 paperback version as low as possible, but it is gradually creeping upward after starting at $30 in 2002. Less expensive printings have been made for sale in China and South Asia. A Russian translation was published in 2011.

Electronic Version: By special arrangement with the publisher, an online version will continue to be available for free download here, subject to the terms in the copyright notice. The electronic version has narrower margins than the print version for a better reading experience on portable electronic devices. To restore the wider margins for printing a paper copy you can print at 85-90% of full size. Note: Section 3.2 has been revised from the original version, with a renumbering of items 3.11-3.21. Similarly, pages 352-355 in section 4.1 have been revised, with renumbering of items 4.13-4.17. These revisions have been incorporated into reprintings of the book since 2015.

Corrections: I am trying to keep an up-to-date list of corrections for all the errors, typographical and otherwise, that I am aware of. There are two lists: Rent and save from the world's largest eBookstore. Read, highlight, and take notes, across web, tablet, and phone. Algebraic Topology by Cornell University This note covers the following topics: moduli space of flat symplectic surface bundles, Cohomology of the Classifying Spaces of Projective Unitary Groups, covering type of a space, A May-type spectral sequence for higher topological...

Algebraic Topology Lecture Notes by Christian Bar This note expplains the following topics: set theoretic topology, Homotopy theory and homology theory. This note explains the following topics: Chain Complexes,Homology, and Cohomology, Homological Algebra, Products, Fiber Bundles, Homology with Local Coefficients, Fibrations, Cofibrations and Homotopy Groups, Obstruction Theory and Eilenberg-MacLane Spaces, Bordism, Spectra, and Generalized Homology,... 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.

Book Projects Algebraic Topology This book, published in 2002, is a beginning graduate-level textbook on algebraic topology from a fairly classical point of view. To find out more or to download it in electronic form, follow this link to the download page. Vector Bundles and K-Theory This unfinished book is intended to be a fairly short introduction to topological K-theory, starting with the necessary background material on vector bundles and including also basic material on characteristic... For further information or to download the part of the book that is written, go to the download page. Spectral Sequences I have now returned to an earlier plan of having this material be an extra chapter of the Algebraic Topology book, rather than a separate book. The current version of this chapter is here.

Its main focus is the Serre spectral sequence and its applications, but there is also some coverage of the Adams spectral sequence and, more briefly, a few other spectral sequences. In case you would like to see the older version that was planned as a separate book, this can be found on this page. Topology of Numbers This is an undergraduate-level introduction to elementary number theory from a somewhat geometric point of view, focusing on quadratic forms in two variables with integer coefficients. See the webpage for the book for more information or to download an electronic version of the book. A print version has been published by the American Math Society in 2022, but the electronic version will remain freely available here. This book, published in 2002, is a beginning graduate-level textbook on algebraic topology from a fairly classical point of view.

To find out more or to download it in electronic form, follow this link to the download page. This unfinished book is intended to be a fairly short introduction to topological K-theory, starting with the necessary background material on vector bundles and including also basic material on characteristic classes. For further information or to download the part of the book that is written, go to the download page. I have now returned to an earlier plan of having this material be an extra chapter of the Algebraic Topology book, rather than a separate book. The current version of this chapter is here. Its main focus is the Serre spectral sequence and its applications, but there is also some coverage of the Adams spectral sequence and, more briefly, a few other spectral sequences.

In case you would like to see the older version that was planned as a separate book, this can be found on this page. Download the free Kindle app and start reading Kindle books instantly on your smartphone, tablet or computer—no Kindle device required. Read instantly on your browser with Kindle for Web. Using your mobile phone camera, scan the code below and download the Kindle app. Discover more of the author’s books, see similar authors, read book recommendations and more. Download the free Kindle app and start reading Kindle books instantly on your smartphone, tablet or computer – no Kindle device required.

Read instantly on your browser with Kindle for Web. Using your mobile phone camera, scan the code below and download the Kindle app. Discover more of the author’s books, see similar authors, read book recommendations and more. The content is divided into three sections: paid books, free books, and lecture notes. The standard content of a book on algebraic topology includes the following topics. There is also a wide range of possible extra topics, for example, spectral sequences, the Poincaré duality, categories, knots, and graphs.

The book by Allen Hatcher is popular, well-known, and widely used. It is also available for free; please see Allen Hatcher (free book). Joseph Rotman's book is said to be introductory and very readable, even though it is a graduate text. Another introductory book is the one by William Massey.

Algebraic Topology Book Cornell University

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