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Semi-open sets in biclosure spaces

Jeeranunt Khampakdee, Chawalit Boonpok (2009)

Discussiones Mathematicae - General Algebra and Applications

The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semi-open maps in biclosure spaces and study some of their properties.

Semi-quotient mappings and spaces

Moiz ud Din Khan, Rafaqat Noreen, Muhammad Siddique Bosan (2016)

Open Mathematics

In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.

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