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R z -supercontinuous functions

Davinder Singh, Brij Kishore Tyagi, Jeetendra Aggarwal, Jogendra K. Kohli (2015)

Mathematica Bohemica

A new class of functions called “ R z -supercontinuous functions” is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity that already exist in the literature is elaborated. The class of R z -supercontinuous functions properly includes the class of R cl -supercontinuous functions, Tyagi, Kohli, Singh (2013), which in its turn contains the class of cl -supercontinuous ( clopen continuous) functions, Singh (2007), Reilly, Vamanamurthy (1983), and is...

Rare α -continuity.

Jafari, Saeid (2005)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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