In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open  and generalized regular fuzzy irresolute closed maps in fuzzy  topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy ...

Some corrections to the papers \Some Generalizations of TD-Spaces (Mat. Ves-nik 34 (1982), 221{230)" and \A Generalization of Normal Spaces (ibid. 35 (1983), 1{10)" are given. 1. Semi-T D spaces 1] The rst part of the proofs of Theorems 1.6 and 2.4 of 1] are incorrect. The following two Theorems and their proofs provide the statements and proofs of the rst parts of the Theorems 1.6 and 2.4 of 1...

An object $X$ of a category $mathbf{C}$ with finite limits is called exponentiable if the functor $-times X:mathbf{C}rightarrow mathbf{C}$ has a right adjoint. There are many characterizations of the exponentiable  spaces in the category $mathbf{Top}$ of topological spaces. Here, we study the exponentiable objects in the category $mathbf{STop}$ of soft topological spaces which is a generalizati...

‎A topological space is called submaximal if each of its dense subsets is open and is called nodec if each of its nowhere dense ea subsets is closed‎. ‎Here‎, ‎we study a variety of spaces some of which have already been studied in $C(X)$‎. ‎Among them are‎, ‎most importantly‎, ‎quasi $P$-spaces and pointwise quasi $P$-spaces‎. ‎We obtain some new useful topological characterizations of quasi $...

introduction “green infrastructure” is a term that describes the abundance and distribution of natural features providing ecological services necessary for community wellbeing specially in urban areas where these are limited. green infrastructure is increasingly espoused by landscape conservation and metropolitan planning because it is an effective way to surrogate ecological network functions ...

The notions of pre-local function, semi-local functions and α-local functions with respect to a topology and an ideal are introduced, and several properties are investigated. Also, the concept of P -I-open sets and P -I-closed sets in ideal topological spaces are discussed. Relations between I-open sets and P -I-open sets are provided, and several properties related to P -I-open sets, pre-local...