An exposition on the homology groups of complexes

An exposition on the homology groups of complexes

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...

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Bibliographic Details
Main Authors: Casa, Ma. Liza S., Tan, Maria Palmyra G.
Format: text
Language:English
Published: Animo Repository 1992
Subjects:
Homology theory
Complexes
Algebraic topology
Coordinates
Geometry, Analytic
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/16021
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Institution: De La Salle University
Language: English
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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.

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