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On Pseudo-Category of Quasi-Isotone Spaces

DOI: 10.4236/apm.2014.42009    2,724 Downloads   3,938 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

H. Were, S. Gathigi, P. Otieno, M. Gichuki and K. Sogomo, "On Pseudo-Category of Quasi-Isotone Spaces," Advances in Pure Mathematics, Vol. 4 No. 2, 2014, pp. 59-61. doi: 10.4236/apm.2014.42009.

References

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[5] S. MacLane, “Category for the Working Mathematician,” 2nd Edition, Springer-Verlag Inc., New York, 1998.

  
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