On variants of θ-Menger spaces

Author:

Kumar Gaurav1,Tyagi Brij2

Affiliation:

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

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

Abstract

In this paper we further study ?-Menger, ?-almost Menger and ?-weakly Menger properties [13] and investigate their relationships with other selective covering properties. We prove that in extremally disconnected semi-regular spaces, the properties viz. Menger, semi-Menger, ?-Menger, ?-Menger, midly Menger are equivalent; and every finite power of a space X has the selection property Sf in(?-O, ?-O) if and only if X has the property Sf in(?-?, ?-?).

Publisher

National Library of Serbia

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