IJPAM: Volume 118, No. 4 (2018)

Title

CHARACTERIZATIONS OF POINTWISE-$\mathcal{I}$-CONTINUOUS,
POINTWISE-$\mathcal{I}$-OPEN AND POINTWISE-$\mathcal{I}$-CLOSED MAPS

Authors

Nitakshi Goyal$^1$, Navpreet Singh Noorie$^2$
$^{1,2}$ Department of Mathematics
Punjabi University
Patiala, 147002, INDIA

Abstract

We obtain new characterizations of pointwise-$\mathcal{I}$ open (closed, continuous) maps with respect to an ideal $\mathcal{I}$ by using the concept of local function and ${\char93 }$ operator. We also generalize some known results. In addition various characterizations of pointwise-$\mathcal{I}$-continuous onto maps in terms of saturated sets and pointwise-$\mathcal{I}$-continuous injective maps are given.

History

Received: April 24, 2017
Revised: November 29, 2017
Published: May 1, 2018

AMS Classification, Key Words

AMS Subject Classification: 54C08, 54C10
Key Words and Phrases: Pointwise-$\mathcal{I}$-Continuous, Pointwise-$\mathcal{I}$-Closed and Pointwise - $\mathcal{I}$-Open, Local Function, *-topology

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How to Cite?

DOI: 10.12732/ijpam.v118i4.5 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: 118
Issue: 4
Pages: 883 - 894


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