The paper defines, with the help of generalized topologies and generalized neighbourhood systems, two kinds of generalized continuity, by giving in this way a general form to various concepts discussed in the literature. In particular, generalized continuity admits a characterization furnishing a known charcterization of θ-continuous maps.

Generalized topology, generized continuity

We introduce the notion of πg-closed sets and use it to obtain a characterization and preservation theorems of quasi-normal spaces.

Quasi-Normal Spaces and πg-Closed Sets

On some near-fuzzy continuous functions between fuzzy topological spaces

The aim of this paper is to study the class of θ-generalized closed sets, which is properly placed between the classes of generalized closed and θ-closed sets.
Furthermore, generalized Λ-sets [16] are extended to
θ-generalized Λ-sets and R0-, T1/2- and T1-spaces are characterized. The relations with other notions directly or indirectly connected with generalized closed sets are investigated. The notion of TGO-connectedness is introduced.

/pdf/on-th-generalized-closed-sets-1p4o9skcjj.pdf

On θ-generalized closed sets

This paper discusses several properties of topological spaces and how they are refelected by corresponding properties of the associated semi-regularization topologies. For example a space is almost locally connected if and only if its semi-regularization is locally connected. Various separation, connectedness, covering, and mapping properties are considered.

/pdf/on-semi-regularization-topologies-34v951sonc.pdf

On semi-regularization topologies

https://www.koreascience.or.kr:443/article/JAKO198021048976037.pdf

Takashi Noiri

Papers

ON δ-CONTINUOUS FUNCTIONS