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
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
Recommended Citation
Casa, M. S., & Tan, M. G. (1992). An exposition on the homology groups of complexes. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16021
