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A basic course in algebraic topology
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Two-Dimensional Manifolds
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Chapter 2
The Fundamental Group
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Chapter 3
Free Groups and Free Products of Groups
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Chapter 4
Seifert and Van Kampen Theorem on the Fundamental Group of the Union of Two Spaces. Applications
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Chapter 5
Covering Spaces
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Chapter 6
Background and Motivation for Homology Theory
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Chapter 7
Definitions and Basic Properties of Homology Theory
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Chapter 8
Determination of the Homology Groups of Certain Spaces: Applications and Further Properties of Homology Theory
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Chapter 9
Homology of CW-Complexes
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Chapter 10
Homology with Arbitrary Coefficient Groups
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Chapter 11
The Homology of Product Spaces
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Chapter 12
Cohomology Theory
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Chapter 13
Products in Homology and Cohomology
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Chapter 14
Duality Theorems for the Homology of Manifolds
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Chapter 15
Cup Products in Projective Spaces and Applications of Cup Products
Overall attention for this book and its chapters
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Mentioned by
syllabi
9
institutions with syllabi
wikipedia
23
Wikipedia pages
Citations
dimensions_citation
282
Dimensions
Book overview
1. Two-Dimensional Manifolds
2. The Fundamental Group
3. Free Groups and Free Products of Groups
4. Seifert and Van Kampen Theorem on the Fundamental Group of the Union of Two Spaces. Applications
5. Covering Spaces
6. Background and Motivation for Homology Theory
7. Definitions and Basic Properties of Homology Theory
8. Determination of the Homology Groups of Certain Spaces: Applications and Further Properties of Homology Theory
9. Homology of CW-Complexes
10. Homology with Arbitrary Coefficient Groups
11. The Homology of Product Spaces
12. Cohomology Theory
13. Products in Homology and Cohomology
14. Duality Theorems for the Homology of Manifolds
15. Cup Products in Projective Spaces and Applications of Cup Products
Summary
Syllabi
Wikipedia
Dimensions citations
This data is correct as of December 2015 - for more up to date information, please visit
https://opensyllabus.org/
So far, Altmetric has seen this research output assigned in
24
syllabi from
9
institutions on Open Syllabus Project.
Institution
Syllabi count
Course subject areas covered
Indian Institute of Technology, Bombay
2
Medicine, Computer Science
University of Utah
1
Computer Science, Biology
University of Toledo
1
Unknown
University of California-Berkeley
1
Unknown
Bar-Ilan University
1
Unknown
University of South Florida-Main Campus
1
Unknown
University of Toronto
1
Unknown
University of Alberta
1
Unknown
Unknown
15
Biology, Law, Medicine