SmartSellTM - The New Way to Sell Online

We won't be beaten by anyone. Guaranteed

Basic Concepts of Algebraic Topology
By

Rating

Product Description
Product Details

Promotional Information

Springer Book Archives

Table of Contents

1 Geometric Complexes and Polyhedra.- 1.1 Introduction.- 1.2 Examples.- 1.3 Geometric Complexes and Polyhedra.- 1.4 Orientation of Geometric Complexes.- 2 Simplicial Homology Groups.- 2.1 Chains, Cycles, Boundaries, and Homology Groups.- 2.2 Examples of Homology Groups.- 2.3 The Structure of Homology Groups.- 2.4 The Euler-Poincare Theorem.- 2.5 Pseudomanifolds and the Homology Groups of Sn.- 3 Simplicial Approximation.- 3.1 Introduction.- 3.2 Simplicial Approximation.- 3.3 Induced Homomorphisms on the Homology Groups.- 3.4 The Brouwer Fixed Point Theorem and Related Results.- 4 The Fundamental Group.- 4.1 Introduction.- 4.2 Homotopic Paths and the Fundamental Group.- 4.3 The Covering Homotopy Property for S1.- 4.4 Examples of Fundamental Groups.- 4.5 The Relation Between H1(K) and ?1(|K|).- 5 Covering Spaces.- 5.1 The Definition and Some Examples.- 5.2 Basic Properties of Covering Spaces.- 5.3 Classification of Covering Spaces.- 5.4 Universal Covering Spaces.- 5.5 Applications.- 6 The Higher Homotopy Groups.- 6.1 Introduction.- 6.2 Equivalent Definitions of ?n(X, x0).- 6.3 Basic Properties and Examples.- 6.4 Homotopy Equivalence.- 6.5 Homotopy Groups of Spheres.- 6.6 The Relation Between Hn(K) and ?n(|K|).- 7 Further Developments in Homology.- 7.1 Chain Derivation.- 7.2 The Lefschetz Fixed Point Theorem.- 7.3 Relative Homology Groups.- 7.4 Singular Homology Theory.- 7.5 Axioms for Homology Theory.- Appendix 1. Set Theory.- Appendix 2. Point-set Topology.- Appendix 3. Algebra.

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
Home » Books » Science » Mathematics » General
Home » Books » Science » Mathematics » Topology
Home » Books » Science » Mathematics » Geometry » Algebraic
Home » Books » Science » History
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 5% commission by selling Basic Concepts of Algebraic Topology (Undergraduate Texts in Mathematics) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.
Back to top