Rcl-supercontinuous functions

• Autorzy: Tyagi B. K. , Kohli J. K. , Singh D.
• Języki publikacji: EN

Abstrakty

EN

A new class of functions called ‘Rcl-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 Rcl-supercontinuous functions properly contains the class of cl-supercontinuous (≡ clopen continuous) functions (Applied Gen. Topology 8(2) (2007), 293–300; Indian J. Pure Appl. Math. 14(6) (1983), 767–772) and is strictly contained in the class of Rδ-supercontinuous functions which in its turn, is properly contained in the class of R-supercontinuous functions (Demonstratio Math. 43(3) (2010), 703–723).

Słowa kluczowe

EN

strongly θ-continuous function; R-supercontinuous function; cl-supercontinuous function; Rcl-space; Rcl-(completely) regular space; Rcl-quotient topology; Rcl-open set

PL

funkcja ciągła θ; funkcja absolutnie ciągła; przestrzeń Rcl; topologia Rcl; zbiór otwarty Rcl

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 1
• Strony: 229--244
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Tyagi B. K.

• Department of Mathematics, A.R.S.D. College, University of Delhi, New Delhi 1100021, India

autor

Kohli J. K.

• Department of Mathematics, Hindu College, University of Delhi, Delhi 110007, India

autor

Singh D.

• Department of Mathematics, Sri Aurobindo College, University of Delhi, New Delhi 110017, India

Bibliografia

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