On separation axioms in intuitionistic topological spaces.
Let T 1 and T 2 be topologies defined on the same set X and let us say that (X, T 1) and (X, T 2) are similar if the families of sets which have nonempty interior with respect to T 1 and T 2 coincide. The aim of the paper is to study how similar topologies are related with each other.
We shall prove that under CH every regular meta-Lindelöf -space which is locally has the -property. In addition, we shall prove that a regular submeta-Lindelöf -space is if it is locally and has locally extent at most . Moreover, these results can be extended from the class of locally -spaces to the wider class of -scattered spaces. Also, we shall give a direct proof (without using topological games) of the result shown by Peng [On spaces which are D, linearly D and transitively D, Topology...
Properties similar to countable fan-tightness are introduced and compared to countable tightness and countable fan-tightness. These properties are also investigated with respect to function spaces and certain classes of continuous mappings.
In this paper we introduce new results in fuzzy connected spaces. Among the results obtained we can mention the good extension of local connectedness. Also we prove that in a -fuzzy compact space the notions c-zero dimensional, strong c-zero dimensional and totally -disconnected are equivalent.
In this paper the concept of somewhat fuzzy semicontinuous functions, somewhat fuzzy semiopen functions are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are also given. More examples are given to illustrate the concepts introduced in this paper.