A Structural Introduction to Algebraic Topology

Name: A Structural Introduction to Algebraic Topology
Brand: World Scientific Publishing Company
SKU: 9789819830442
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ISBN13: 9789819830442
Binding: Hardcover
Subject: N/A
Publisher: World Scientific Publishing Company
Publisher Imprint: World Scientific Publishing Company
Publication Date: June 7, 2026
Pages: 458
Original Price: USD 148.0
Language: English
Edition: N/A
Item Weight: 994 grams
BISAC Subject(s): Topology

About The Book

The main subject of this book is singular homology, the simplest instrument of algebraic topology. In studying this theory and its applications, the book also investigates parts of other disciplines that form its underlying structural layout: homological algebra, homotopy theory, and category theory. The cohomology theories of Alexander-Spanier, Čech, and de Rham are also presented.

This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with minimal prerequisites - basic general topology and little else - and a moderate progression, starting with a very elementary beginning.

A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions. The book can be used as a textbook for a first course in algebraic topology or for self-study, and also as a reference book for further study.

It is based on a previous version, which has been entirely reviewed, adding several presentations of advanced subjects, and exploring more deeply the interplay of homology and homotopy.

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