All Theses and Dissertations

Degree

Master of Science in Mathematics

Department

Department of Mathematical Sciences

Date of Award

Spring 2020

Advisor

Dr. Danish Ali

Committee Member 1

Dr. Usman Ali, Institute of Business Administration, Karachi

Committee Member 2

Dr. Saima Parveen, Institute of Business Administration, Karachi

Committee Member 3

Dr. Hisham Bin Zubair, Institute of Business Administration, Karachi

Project Type

Thesis

Access Type

Restricted Access

Document Version

Final

Pages

viii, 45

Subjects

Geometry

Abstract

In this paper, we have developed a homology theory for finite spaces based on functions from Sierpinski topological space and its product topology to the finite space under consideration, which was called Sierpinski-cubical-singular homology. This homology satisfied all the Eilenberg-Steenrod axioms of homology theory' and thus isomorphic to the well-known homology theories such as simplicial homology theory, singular homology theory, etc. for finite spaces.

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