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arXiv · 1306.2612

Pseudocompact primitive topological inverse semigroups

Oleg Gutik·Kateryna Pavlyk
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Abstract

In the paper we study pseudocompact primitive topological inverse semigroups. We describe the structure of pseudocompact primitive topological inverse semigroups and show that a Tychonoff product of a family of pseudocompact primitive topological inverse semigroups is a pseudocompact topological space. Also we prove that the Stone-Čech compactification of a pseudocompact primitive topological inverse semigroup is a compact primitive topological inverse semigroup.

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Oleg Gutik, Kateryna Pavlyk. 2013-10-20. Pseudocompact primitive topological inverse semigroups. https://arxiv.org/abs/1306.2612

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