Introduction To Algebraic Topolgy by Martin Cadek

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About this book :-
Introduction To Algebraic Topolgy written by Martin Cardek .
These notes form a brief overview of basic topics in a usual introductory course of algebraic topology. They have been prepared for my series of lectures at the Okayama University. They cannot substitute standard textbooks. The technical proofs of several important theorems are omitted and many other theorems are not proved in full generality.

Book Detail :-
Title: Introduction To Algebraic Topolgy
Edition:
Author(s): Martin Cadek
Publisher:
Series:
Year: 2002
Pages: 83
Type: PDF
Language: English
ISBN:
Country:
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About Author :-
Martin Cadek , Department of Mathematics and Statistics, Masaryk University, Kotlářská

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Book Contents :-
Introduction To Algebraic Topolgy written by Martin Cadek cover the following topics.
0. Foreword
1. Basic notions and constructions
2. CW-complexes
3. Simplicial and singular homology
4. Homology of CW-complexes and applications
5. Singular cohomology
6. More homological algebra
7. Products in cohomology
8. Vector bundles and Thom isomorphism
9. Poincar´e duality
10. Homotopy groups
11. Fundamental group
12. Homotopy and CW-complexes
13. Homotopy excision and Hurewitz theorem
14. Short overview of some further methods in homotopy theory
References
Index

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