Algebraic Topology: A Toolkit (De Gruyter Textbook)

Algebraic Topology: A Toolkit (De Gruyter Textbook)
by: Kevin P. Knudson (Author)
Publisher: De Gruyter
Edition: 1st
Publication Date: 2024/10/21
Language: English
Print Length: 400 pages
ISBN-10: 3111014819
ISBN-13: 9783111014814
Book 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.
About the Author
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. Read more