ENGLISH

Algebraic Topology - A Toolkit

By Kevin P. Knudson

Book information

Publisher
de Gruyter
Year
2024
ISBN
9783111014814, 9783111014852, 9783111014869
DOI
10.1515/9783111014852
Language
english
Format
PDF
Filesize
5 MB (5467941 bytes)
Series
De Gruyter Textbook
Edition
1
Pages
248\263
Topic
Mathematics\\Geometry and Topology
Orientation
yes
Paginated
yes
Scanned
portrait
Time added
2024-08-08 12:30:04
Algebraic TopologyCohomologyHomologyHomotopyPoincare DualitySpectral Sequences

Description

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.

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