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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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 |
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Homology theory Complexes Algebraic topology Coordinates Geometry, Analytic |
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Homology theory Complexes Algebraic topology Coordinates Geometry, Analytic Casa, Ma. Liza S. Tan, Maria Palmyra G. An exposition on the homology groups of complexes |
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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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