Basic Algebraic Topology and its Applications

By Mahima Ranjan Adhikari

Book Overview

Prerequisite Concepts and Notations.- Basic Homotopy.- The Fundamental Groups.-Covering Spaces.- Fibre Bundles, Vector Bundles and K-theory.- Geometry of Simplicial Complexes and Fundamental Groups.- Higher Homotopy Groups.- Products in Higher Homotopy Groups.- CW-complexes and Homotopy.- Eilenberg-MacLane Spaces.- Homology and Cohomology Theories.- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories.- Consequences of the Eilenberg-Steenrod Axioms.- Some Applications of Homology Theory.- Spectral Homology and Cohomology Theories.- Obstruction Theory.- More Relations Between Homotopy and Homology Groups.- A Brief Historical Note.

• Format: Paperback
• Language: English
• ISBN: 8132238559
• ISBN13: 9788132238553
• Release Date: June 2018
• Publisher: Springer
• Length: 615 Pages
• Weight: 1.97 lbs.
• Dimensions: 1.3" x 6.1" x 9.2"