Semi-Rothberger and related spaces

Authors

A. Sabah Department of Mathematics‎, ‎COMSATS Institute of Information‎ ‎Technology‎, ‎Chack Shahzad‎, ‎Park Road‎, ‎Islamabad 45550‎, ‎Pakistan.

M. Khan Department of Mathematics‎, ‎COMSATS Institute of Information‎ ‎Technology‎, ‎Chack Shahzad‎, ‎Park Road‎, ‎Islamabad 45550‎, ‎Pakistan.

Abstract:

In this paper our focus is to study certain covering properties in topological spaces by using semi-open covers. A part of this article deals with Rothberger-type covering properties. The notions of s-Rothberger, almost s-Rothberger, star s-Rothberger, almost star s-Rothberger, strongly star s-Rothberger spaces are defined and corresponding properties are investigated.

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