Product space and the digital plane via relations

A.A. Allam, M.Y. Bakeir and E.A. Abo-Tabl

Chaos, Solitons & Fractals, 2009, vol. 41, issue 2, 764-771

Abstract: Recently, the general topology has become the appropriated framework for any subject related to relations. The reason is that topology is required not only for mathematics and physics but also for biology, rough set theory, biochemistry, quantum, information systems and dynamics. In this paper, we introduce a concept of product space by relations. In addition, we study some properties in product space using relations. Finally, we study the digital plane and we show that there are only two topologies in Z2 within our theory.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:2:p:764-771

DOI: 10.1016/j.chaos.2008.03.012

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