Rδ-supercontinuous functions

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

Abstrakty

EN

A new class of functions called ‘Rδ-supercontinuous functions’ is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity which already exist in the literature is elaborated. The class of Rδ-supercontinuous functions (Math. Bohem., to appear) properly contains the class of Rz-supercontinuous functions which in its turn properly contains the class of Rcl-supercontinuous functions (Demonstratio Math. 46(1) (2013), 229–244) and so includes all cl-supercontinuous (=clopen continuous) functions (Applied Gen. Topol. 8(2) (2007), 293–300; Indian J. Pure Appl. Math. 14(6) (1983), 767–772) and is properly contained in the class of R-supercontinuous functions (Demonstratio Math. 43(3) (2010), 703–723).

Słowa kluczowe

EN

z-supercontinuous function; F-supercontinuous function; cl-supercontinuous function; Rz-supercontinuous function; R-supercontinuous function; rδ-open set; rδ-closed set; δ-embedded; Hausdorff space

PL

funkcja ciągła; zbiór otwarty; przestrzeń Hausdorffa; przestrzeń topologiczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 2
• Strony: 433--448
• Opis fizyczny: ibliogr. 38 poz.

Twórcy

autor

Kohli J. K.

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

autor

Tyagi B. K.

• Department of Mathematics, A.R.S.D. College, University of Delhi, New Delhi 110021, India

autor

Singh D.

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

autor

Aggarwal J.

• Department of Mathematics, Shivaji College, University of Delhi, New Delhi 110027, India

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