An exposition on the homology groups of complexes

Date of Publication

1992

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Applied Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This paper serves as an introduction to the study of algebraic topology or homology theory. It focuses on spaces which are particularly simple subsets of Euclidean n-space Rn. These subsets are those that can be assembled in conformity with a prescribed set of rules from certain elementary building blocks called simplexes. A set that can be so constructed is called a polytope. A particular set of directions for assembling simplexes into a specific polytope is called a complex, and the resulting polytope itself is called the space of the complex.The paper focuses on the computation of the homology groups of these complexes.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU05857

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

70 numb. leaves

Keywords

Homology theory; Complexes; Algebraic topology; Coordinates; Geometry, Analytic

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