IJPAM: Volume 93, No. 2 (2014)
AND -- SPACES
School of Quantitative Sciences
College of Arts and Sciences
Universiti Utara Malaysia
06010 Sintok, Kedah, MALAYSIA
Abstract. This paper defines new class of sets called --generalized closed using --open set and --closure of a set in a topological space. By using this new set, we introduce a new space called -- and define three functions namely ---continuous, ---closed and ---open. Some theoretical results and properties for this space and these functions are obtained. Several examples are given to illustrate some of the results.
Received: February 23, 2014
AMS Subject Classification: 54A05, 54C05, 54C10, 54D10
Key Words and Phrases: --open set, --closed set, ---closed set, -- space, ---continuous function
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DOI: 10.12732/ijpam.v93i2.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 243 - 260
This work is licensed under the Creative Commons Attribution International License (CC BY).