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Algebraic Topology
A Toolkit
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Kevin P. Knudson
Language:
English
Published/Copyright:
2024
About this book
This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences. The focus is on examples and computations, and there are many end of chapter exercises and extensive student projects.
- Focuses on (co)homology and its computation with a large collection of examples.
- Covers topics such as persistent homology and basic topological data analysis.
- Provides many exercises and extended projects to engage students in deeper study.
Author / Editor information
Kevin P. Knudson, University of Florida, USA.
Topics
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I |
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VII |
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IX |
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XI |
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1 |
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61 |
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147 |
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205 |
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243 |
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245 |
Publishing information
Pages and Images/Illustrations in book
eBook published on:
August 19, 2024
eBook ISBN:
9783111014852
Paperback published on:
August 19, 2024
Paperback ISBN:
9783111014814
Pages and Images/Illustrations in book
Front matter:
14
Main content:
248
Illustrations:
30
Coloured Illustrations:
24
Keywords for this book
Algebraic topology; continuous maps and homotopy; homology; cohomology and duality; homotopy and spectral sequences.
Audience(s) for this book
Graduate students studying mathematics, as algebraic topology is a required course.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
