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.