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On Pseudo-Category of Quasi-Isotone Spaces
Department of Mathematics, Egerton University, Egerton, Kenya
Department of Mathematics, Egerton University, Egerton, Kenya
Department of Mathematics, Egerton University, Egerton, Kenya
Department of Mathematics, Egerton University, Egerton, Kenya
Department of Mathematics, Egerton University, Egerton, Kenya
- 1 Department of Mathematics, Egerton University, Egerton, Kenya
- 2 Department of Mathematics, Egerton University, Egerton, Kenya
- 3 Department of Mathematics, Egerton University, Egerton, Kenya
- 4 Department of Mathematics, Egerton University, Egerton, Kenya
- 5 Department of Mathematics, Egerton University, Egerton, Kenya
Advances in Pure Mathematics·Volume 04 (2014)·Pages 59–61·Published 24 February 2014·DOI10.4236/apm.2014.42009
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Abstract
Recent developments in mathematics have in a sense organized objects of study into categories, where properties of mathematical systems can be unified and simplified through presentation of diagrams with arrows. A category is an algebraic structure made up of a collection of objects linked together by morphisms. Category theory has been advanced as a more concrete foundation of mathematics as opposed to set-theoretic language. In this paper, we define a pseudo-category on the class of isotonic spaces on which the idempotent axiom of the Kuratowski closure operator is assumed.
KeywordsClosure OperatorIsotonic SpaceQuasi-Isotone SpacesPseudo-Category
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