Contra- Semi -Pre-Continuous Functions

Contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions

The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of $beta^{*}$-closed sets in topological space to present and study a new class of functions called contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions as a new generalization of contra continuity.

Contra-e-Continuous Functions

In 2008, E. Ekici [13] introduced a new class of generalized open sets in a topological space called e-open sets. M. Ozkoc and G Aslim [26], in their recent paper (Bull. Korean Math. Soc. 47 (2010), No. 5, pp. 10251036), initiated two strong forms of e-open sets for the study of stronglyθ-e-continuous functions. J. Dontchev [8] introduced the notion of contra continuous functions. In this paper...

Contra-ω-Continuous and Almost Contra-ω-Continuous

A Theorem on Semi-Continuous Functions

Completion of Lattices of Semi-continuous Functions

If U and V are topologies on an abstract set X, then the triple (X, U, V) is a bitopological space. Using the theorem of Priestley on the representation of distributive lattices, results of Dilworth concerning the normal completion of the lattice of bounded, continuous, realvalued functions on a topological space are extended to include the lattice of bounded, semi-continuous, real-valued funct...