IJPAM: Volume 119, No. 2 (2018)

Title

TOTALLY $\theta$-SG-CONTINUOUS FUNCTIONS

Authors

Md. Hanif Page$^1$, Baravan A. Asaad$^2$
$^1$Department of Mathematics
KLE Technological University
Hubli, 580031, INDIA
$^2$Department of Computer Science
Cihan University-Duhok
Kurdistan-region, IRAQ
$^2$Department of Mathematics
Faculty of Science
University of Zakho
Kurdistan-region, IRAQ

Abstract

In this paper, we introduce and study a new class of functions called totally $\theta$-sg-continuous functions as a new generalization of total continuity utilizing $\theta$-sg-open sets and obtain their characterizations and properties. Some $\theta$-sg- separation axioms by using the $\theta$-sg-open sets are defined. Furthermore, we introduce some types of TSGO-compact spaces and investigate some relations among them. Some properties of their spaces are given.

History

Received: March 3, 2018
Revised: June 27, 2018
Published: July 10, 2018

AMS Classification, Key Words

AMS Subject Classification: 54C08, 54C10
Key Words and Phrases: $\theta$-sg-closed set, $\theta$-sg-separation axioms, totally $\theta$-sg-continuous function, $\theta$-sg-continuous function, TSGO-compact space

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v119i2.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 119
Issue: 2
Pages: 375 - 390


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