IJPAM: Volume 79, No. 4 (2012)

ON COMPACTNESS AND CONNECTEDNESS OF
INVERTIBLE FUZZY TOPOLOGICAL SPACES

Anjaly Jose$^1$, Sunil C. Mathew$^2$
$^1$Department of Mathematics
St. Joseph's College Devagiri
Calicut (Dt), 673008, Kerala, INDIA
$^2$Department of Mathematics
St. Thomas College Palai
Kottayam (Dt), 686574, Kerala, INDIA


Abstract. In this paper we study the effect of invertibility on compactness and connectedness of a fuzzy topological space. We have obtained certain conditions for an invertible fuzzy topological space to be compact and fuzzy connected. If the invertible subspace is compact, then it is proved that the parent fuzzy topological space is also compact. It is also proved that in a type 2 completely invertible fuzzy topological space, fuzzy connectedness and fuzzy super connectedness are same.

Received: March 15, 2012

AMS Subject Classification: 54A40

Key Words and Phrases: homeomorphism, invertibility, compactness, connectedness

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 79
Issue: 4