TITLE:
On Pseudo-Category of Quasi-Isotone Spaces
AUTHORS:
Hezron S. Were, Stephen M. Gathigi, Paul A. Otieno, Moses N. Gichuki, Kewamoi C. Sogomo
KEYWORDS:
Closure Operator; Isotonic Space; Quasi-Isotone Spaces; Pseudo-Category
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.2,
February
28,
2014
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.