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Algebraic Topology Books . We hope students and teachers like these textbooks, notes and solution manuals.
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About this book :-
Lecture Notes on Algebraic Topology written by
Jie Wu .
Book Detail :-
Title: Lecture Notes on Algebraic Topology
Edition:
Author(s): Jie Wu
Publisher:
Series:
Year:
Pages: 169
Type: PDF
Language: English
ISBN:
Country:
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About Author :-
Jie Wu , Department of Mathematics, National University of Singapore, Singapore 119260, Republic of Singapore, matwujie@math.nus.edu.sg
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Book Contents :-
Lecture Notes on Algebraic Topology written by
Jie Wu
cover the following topics.
1. Introduction
Sets, Monoids and Groups, G-sets, Categories and Functors
2. General Topology
Metric spaces, Topological Spaces, Continuous Functions, Induced Topology, Quotient Topology, Product Spaces, Wedges and Smash Products, Topological Groups and Orbit Spaces, Compact Spaces, Hausdorff Spaces and Locally Compact Spaces, Mapping Spaces and Compact-open Topology, Manifolds and Configuration Spaces
3. Elementary Homotopy Theory
Homotopy Sets, Homotopy Equivalences and Contractible Spaces, Retraction, Deformation and Homotopy Extension Property, H-spaces and Co-H-spaces, Barratt-Puppe Exact Sequences
4. The Fundamental Groups and Covering Spaces
The fundamental Group, The Seifert-Van Kampen Theorem, Covering Spaces, The Lifting Theorem For Covering Spaces, Universal Covering
5. Homology
Eilenberg-Steenrod Axioms, Computations and Applications, sets, Simplicial Sets and Homology
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