The quasi-uniform character of a topological semigroup
Mastellos, J. (2015). The quasi-uniform character of a topological semigroup. EKB Journal Management System, 23(2), 224-230. doi: 10.1016/j.joems.2014.06.012
John Mastellos. "The quasi-uniform character of a topological semigroup". EKB Journal Management System, 23, 2, 2015, 224-230. doi: 10.1016/j.joems.2014.06.012
Mastellos, J. (2015). 'The quasi-uniform character of a topological semigroup', EKB Journal Management System, 23(2), pp. 224-230. doi: 10.1016/j.joems.2014.06.012
Mastellos, J. The quasi-uniform character of a topological semigroup. EKB Journal Management System, 2015; 23(2): 224-230. doi: 10.1016/j.joems.2014.06.012

The quasi-uniform character of a topological semigroup

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Page 224-230  XML PDF (464.46 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.06.012
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Author
John Mastellos*
Department of Mathematics, University of Patras, 26504 Patras, Greece
Abstract
The topological embedding of a topological semigroup S, commutative with the property
of cancelation, into the group G ¼ S  S=R, (R the equivalence ða; bÞRða0
; b0
Þ () ab0 ¼ a0
b) to
which S is algebraically embedded, was the subject of the search for the mathematicians of a long
period. It was based on the fact that S must naturally be a uniform topological space, as every topological group was. The present paper is devoted to the fact that a quasi-uniformity is defined to any
topological space, thus to any topological semigroup.
Keywords
Topological embedding; Quasi-uniformity; Specialization order; T0 and not T1 space
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