Remarks on Semi-Menger and Star Semi-Menger Spaces

Author:

Kumar Gaurav1,K.Tyagi Brij2

Affiliation:

1. Department of Mathematics , University of Delhi , New Delhi , India

2. Atma Ram Sanatan Dharma College , University of Delhi , New Delhi , India

Abstract

Abstract It is proved that for an extremally disconnected S-paracompact-T 2 spaces the properties semi-Menger, Menger, strongly star semi-Menger, strongly star-Menger, star semi-Menger, star-Menger, almost semi-Menger, almost Menger, almost star semi-Menger, almost star-Menger are equivalent. We show that a weakly semi-continuous (strongly θ-semi-continuous) image of semi-Menger (almost semi-Menger) spaces is almost semi-Menger (semi-Menger), respectively. The characterizations of semi-Menger and star semi-Menger spaces are also provided.

Publisher

Walter de Gruyter GmbH

Reference24 articles.

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2. [2] BONANZINGA, M.—MATVEEV, M. V.: Some covering properties for ψ -Spaces,Mat. Vesnik 61 (2009), 3–11.

3. [3] CROSSLEY, S. G.—HILDEBRAND, S. K.: Semi-closure,Texas J. Sci. 22 (1971), 99–112.

4. [4] DORSETT, C.: Semi-regular spaces, Soochow J. Math. 8 (1982), 45–53.

5. [5] GILLMAN, L.—JERISON, M.: Rings of Continuous Functions, Van Nostrand, New York, 1960.10.1007/978-1-4615-7819-2

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