On almost z-supercontinuity | Zendy

Sadık Bayhan | Zendy; A. Kanıbir | Zendy; Aisling McCluskey | Zendy; Ivan L. Reilly | Zendy

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On almost z-supercontinuity

Author(s) -

Sadık Bayhan,

A. Kanıbir,

Aisling McCluskey,

Ivan L. Reilly

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1306965b

Subject(s) - mathematics , perspective (graphical) , network topology , domain (mathematical analysis) , function (biology) , pure mathematics , topological space , topology (electrical circuits) , discrete mathematics , combinatorics , mathematical analysis , computer science , geometry , evolutionary biology , biology , operating system

Two new classes of functions between topological spaces have been defined recently, and their basic properties have been studied. They are called almost z-supercontinuous functions and almost D - supercontinuous functions. We consider these two classes of functions from the perspective of changes of topologies. Inparticular,weshowthateachofthesevariantsofcontinuitycoincideswiththeclassicalnotion of continuity when the domain and codomain of the function under consideration have been retopologized appropriately. Some of the consequences of this situation are examined in this paper.

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