Algebraic Topology Basics

Author: Mankles
Publisher:
Publish Date: 2006-09-01
Features: This book is translated from James R. Munkres' "Elements of Algebraic Topology" (published by Perseus in 1993). The book is divided into 8 chapters and 74 sections, with rich content and insightful discussions. The main topics include simplicial homology groups and their topological invariance, the Eilenberg-Steenrod axiomatic system, singular homology theory, cohomology groups and cohomology rings, homological algebra, and duality on manifolds. Due to the author's ingenious and flexible arrangement, the book is suitable for various teaching needs, such as serving as a textbook for graduate students over one academic year or semester, or for advanced undergraduate elective courses. Additionally, it is available for to read.