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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Main Authors: Casa, Ma. Liza S., Tan, Maria Palmyra G.
Format: text
Language:English
Published: Animo Repository 1992
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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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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-165342022-01-26T04:14:12Z An exposition on the homology groups of complexes Casa, Ma. Liza S. Tan, Maria Palmyra G. 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. 1992-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16021 Bachelor's Theses English Animo Repository Homology theory Complexes Algebraic topology Coordinates Geometry, Analytic
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Homology theory
Complexes
Algebraic topology
Coordinates
Geometry, Analytic
spellingShingle Homology theory
Complexes
Algebraic topology
Coordinates
Geometry, Analytic
Casa, Ma. Liza S.
Tan, Maria Palmyra G.
An exposition on the homology groups of complexes
description 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.
format text
author Casa, Ma. Liza S.
Tan, Maria Palmyra G.
author_facet Casa, Ma. Liza S.
Tan, Maria Palmyra G.
author_sort Casa, Ma. Liza S.
title An exposition on the homology groups of complexes
title_short An exposition on the homology groups of complexes
title_full An exposition on the homology groups of complexes
title_fullStr An exposition on the homology groups of complexes
title_full_unstemmed An exposition on the homology groups of complexes
title_sort exposition on the homology groups of complexes
publisher Animo Repository
publishDate 1992
url https://animorepository.dlsu.edu.ph/etd_bachelors/16021
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