# Compact Topological Semigroups Associated with Oids

Volume 12, Issue 3, pp 219-234
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### Authors

Abdol Mohammad Aminpour - Department of Mathematical Sciences and Computer, Shahid Chamran University, Ahvaz, Iran. Mehrdad Seilani - Iranian Academic Center for Education Culture and Research(ACECR).

### Abstract

The known theory for a discrete oid $T$ shows that how to find a subset $T^{\infty}$ of $\beta T$ which is a compact right topological semigroup (see section 2 for details).In this paper we try to find an analogue of almost periodic functions for oids. We discover, new compact semigroups by using a certain subspace of functions $u^{\infty}(T)$ of $C(T)$ for an oid $T$ for which $f\beta$ is continuous on $T^{\infty}\times(T\cup T^{\infty}\cup TT^{\infty})$,where $(T\cup T^{\infty}\cup TT^{\infty})$ is a suitable subspace of $\beta T$ for a wide range.

### Keywords

• Oid
• Jointly continuous function
• Compact topological semigroup.

•  22A15
•  54D30

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