Insertion of a Contra-Baire-1 (Baire-.5) Function-Reference-Cited by-同舟云学术

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Insertion of a Contra-Baire-1 (Baire-.5) Function

Published:2019-12-01 Issue:2 Volume:27 Page:89-101
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Mirmiran Majid¹

Affiliation:

1. Department of Mathematics , University of Isfahan , Isfahan 81746-73441 , Iran

Abstract

Abstract Necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that F σ-kernel of sets are F σ-sets.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2019-0009

Reference22 articles.

1. [1] A. Al-Omari, M.S. Md Noorani: Some properties of contra-b-continuous and almost contra-b-continuous functions. European J. Pure. Appl. Math. 2 (2) (2009) 213–230.

2. [2] F. Brooks: Indefinite cut sets for real functions. Amer. Math. Monthly 78 (1971) 1007–1010.

3. [3] M. Caldas, S. Jafari: Some properties of contra-β-continuous functions. Mem. Fac. Sci. Kochi. Univ. 22 (2001) 19–28.

4. [4] J. Dontchev: The characterization of some peculiar topological space via α- and β-sets. Acta Math. Hungar. 69 (1–2) (1995) 67–71.

5. [5] J. Dontchev: Contra-continuous functions and strongly S-closed space. Internat. J. Math. Math. Sci. 19 (2) (1996) 303–310.

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