Independent form of (θ, s)-continuous functions in topological spaces

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2020-03-0031

Keywords:

Almost contra-precontinuous functions, (θ, s)-continuous functions, Almost contra-Pβ-continuous functions, Pβ-open, topological space

Abstract

We introduce a new class of almost contra-Pβ-continuous functions which is a subclass of the class of almost contra-precontinuous functions [8]. This class contains the classes of regular set connected functions, perfectly continuous functions and contra-Pβ-continuous functions. It is shown that almost contra-Pβ-continuity is independent to (θ, s)-continuity [12] and contra-precontinuity [11]. Furthermore, we obtain basic properties and preservations theorems for almost contra-Pβ-continuity.

Author Biographies

Brij K. Tyagi, University of Delhi.

Dept. of Mathematics.

Sumit Singh, University of Delhi.

Dept. of Mathematics.

Manoj Bhardwaj, University of Delhi.

Dept. of Mathematics.

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Published

2020-06-03

How to Cite

[1]
B. K. Tyagi, S. Singh, and M. Bhardwaj, “Independent form of (θ, s)-continuous functions in topological spaces”, Proyecciones (Antofagasta, On line), vol. 39, no. 3, pp. 495-515, Jun. 2020.

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Artículos