Chapter Lll Complexes

Book Id: WPLBN0000673339
Format Type: PDF eBook
File Size: 4.86 MB
Reproduction Date: 2005

Title:	Chapter Lll Complexes
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Language:	English
Subject:	Science., Mathematics, Logic
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Citation APA MLA Chicago Chapter Lll Complexes. (n.d.). Chapter Lll Complexes. Retrieved from http://gutenberg.us/

Description
Mathematics document containing theorems and formulas.

Excerpt
Excerpt: A complex is a particular type of partially ordered set with complementary properties designed to carry an algebraic superstructure, its homology theory. Complexes thus appear as the tool par excellence for the application of algebraic methods to topology. For the present we shall deal chiefly with finite complexes and give a complete treatment of their homology and cohomology groups and duality theory. Polyhedral and Euclidean complexes are discussed as special examples. Infinite complexes are likewise considered aa well as a special class, the simple complexes, introduced by A. W. Tucker, and may be said to have all the main algebraic attributes of the polyhedral type. It is for simple complexes that an intersection theory is developed in (V), and the combinatorial manifolds of (V) are also simple complexes.