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.
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.
 W. J. Thron, “What Results Are Valid on Cech-Closure Spaces,” Topology Proceedings, Vol. 6, No. 3, 1981, pp. 135-158.
 T. A Sunitha, “A Study of Cech Closure Spaces,” Doctor of Philosophy Thesis, School of Mathematical Sciences, Cochin University of Science and Technology, Cochin, 1994.
 A. K. Elzenati and E. D. Habil, “Connectedness in Isotonic Spaces,” Turkish Journal of Mathematics, Vol. 30, No. 3, 2006, pp. 247-262.
 C. McLarty, “Elementary Categories, Elementary Toposes,” Oxford University Press, Oxford, 1992.
 S. MacLane, “Category for the Working Mathematician,” 2nd Edition, Springer-Verlag Inc., New York, 1998.