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Sierpinski cubical singular homology for finite spaces

Thesis Info

Author

Zaidi, Syed Hadi Ali

Program

MS

Institute

Institute of Business Administration

Institute Type

Private

City

Karachi

Province

Sindh

Country

Pakistan

Thesis Completing Year

2019

Page

45

Subject

Mathematics

Language

English

Other

CallNo: 518.25

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676720939267

Similar


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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