Sierpinski cubical singular homology for finite spaces

Author

Syed Hadi Ali Zaidi, Institute of Business Administration

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

Pages

viii, 45

Keywords

Finite element methods, Mathematical models, Singular homology

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.

Link to Catalog Record

https://ils.iba.edu.pk/cgi-bin/koha/opac-detail.pl?biblionumber=109793

Recommended Citation

Zaidi, S. H. (2020). Sierpinski cubical singular homology for finite spaces (Unpublished master's thesis). Institute of Business Administration, Pakistan. Retrieved from https://ir.iba.edu.pk/etd/21