Title

Digital Hurewicz theorem and digital homology theory

Author Affiliation

Danish Ali is Assistant Professor, Program Coordinator PhD/MS Mathematics & BS (Eco. & Maths.) and Mathematics & Astronomy Club at Institute of Business Administration (IBA), Karachi

Faculty / School

Faculty of Computer Sciences (FCS)

Department

Department of Mathematical Sciences

Was this content written or created while at IBA?

Yes

Document Type

Article

Source Publication

Turkish Journal of Mathematics

ISSN

1300-0098

Abstract

In this paper, we develop homology groups for digital images based on cubical singular homology theory for topological spaces. Using this homology, we obtain two main results that make this homology different from alreadyexisting homologies of digital images. We prove digital analog of Hurewicz theorem for digital cubical singular homology. We also show that the homology functors developed in this paper satisfy properties that resemble the Eilenberg-Steenrod axioms of homology theory, in particular, the homotopy and the excision axioms. We finally define axioms of digital homology theory.

Indexing Information

HJRS - X Category, Scopus, Web of Science - Science Citation Index Expanded (SCI)

Publication Status

Published

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