A note on inverse-preservations of regular open sets.
A note on maximally resolvable spaces.
A note on neighborhood product spaces
A note on pretopologies
A note on products of Fréchet spaces
A note on pseudobounded paratopological groups
Let G be a paratopological group. Then G is said to be pseudobounded (resp. ω-pseudobounded) if for every neighbourhood V of the identity e in G, there exists a natural number n such that G = Vn (resp.we have G = ∪ n∈N Vn). We show that every feebly compact (2-pseudocompact) pseudobounded (ω-pseudobounded) premeager paratopological group is a topological group. Also,we prove that if G is a totally ω-pseudobounded paratopological group such that G is a Lusin space, then is G a topological group....
A note on Raghavan-Reilly's pairwise paracompactness.
A note on semihomeomorphism between semi spaces
A note on some applications of semi-open sets.
A note on some applications of -open sets.
A note on splittable spaces
A space is splittable over a space (or splits over ) if for every there exists a continuous map with . We prove that any -dimensional polyhedron splits over but not necessarily over . It is established that if a metrizable compact splits over , then . An example of -dimensional compact space which does not split over is given.
A note on the comparison of topologies.
A note on the topology generated by preopen sets
A note on topological groups and their remainders
In this note we first give a summary that on property of a remainder of a non-locally compact topological group in a compactification makes the remainder and the topological group all separable and metrizable. If a non-locally compact topological group has a compactification such that the remainder of belongs to , then and are separable and metrizable, where is a class of spaces which satisfies the following conditions: (1) if , then every compact subset of the space is a...
A note on transfinite sequences
A Note On Ultrapower Cardinality
A note on ultrapower cardinality.
A note on weakly -continuous functions.
A note on weakly -closed functions
In this paper we introduce a new class of functions called weakly -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly -closed functions enable us to facilitate the formulation of certain...
A note on zero-dimensional preimages of compact spaces