Weakly <i>α</i>‐continuous functions

Noiri, Takashi

doi:10.1155/s0161171287000565

Cited by 47 publications

(33 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We observe that Ekici [4 Theorem 6 (1), (10), (11), (12) ] obtained this theorem, but did not subsequently use it in his paper. On the other hand, it is the cornerstone of our approach to this topic.…”

Section: Change Of Topologymentioning

confidence: 99%

Generalization of perfectly continuous, regular set-connected and clopen functions

Ekici

2005

Acta Math Hung

View full text Add to dashboard Cite

Abstract. Recently the class of almost cl-supercontinuous functions between topological spaces has been studied in some detail. We consider this class of functions from the point of view of change(s) of topology. In particular, we conclude that this class of functions coincides with the usual class of continuous functions when the domain and codomain have been retopologized appropriately. Some of the consequences of this fact are considered in this paper. AMS Classification:Primary 54C60, 54C05, 54C10; Secondary 54D10, 54D20.

show abstract

Section: Change Of Topologymentioning

confidence: 99%

Generalization of perfectly continuous, regular set-connected and clopen functions

Ekici

2005

Acta Math Hung

View full text Add to dashboard Cite

show abstract

“…Njastad [14] defined α-open subsets in 1965 and he showed that for any topological space (X, τ ), the collection τ α of all α-open subsets of (X, τ ) is a topology on X larger than τ . In 1963, Levine [5] introduced semi-open sets.…”

Section: Definitions and Preliminariesmentioning

confidence: 99%

On faint continuity

McCluskey

Reilly

2015

Appl.Gen.Topol.

View full text Add to dashboard Cite

Recently the class of strongly faintly α-continuous functions between topological spaces has been defined and studied in some detail. We consider this class of functions from the perspective of change(s) of topology. In particular, we conclude that each member of this class of functions belongs the usual class of continuous functions between topological spaces when the domain and codomain of the function in question have been retopologized appropriately. Some consequences of this fact are considered in this paper.2010 MSC: 06A06; 54H10.

show abstract

“…For example, while Lee [14], Jones [6] and Long [15] have studied semi P-functions for P-equal to connectedness, Mathur [24] and Noiri [30] introduced semi P-functions for P equal to the property of being a <5-closed set and when P is the property of being a zero set the corresponding semi P-functions are considered in [38]. Moreover, it turns out that in general the concepts of a continuous function and a semi P-function are independent of each other and either of them is a weak semi P-function.…”

Section: A Unified Theorymentioning

confidence: 99%