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Categorically Closed Topological Groups
Faculty of Mechanics and Mathematics, Ivan Franko National University, 79000 Lviv, Ukraine
Institute of Mathematics, Jan Kochanowski University, 25-001 Kielce, Poland
Axioms 2017, 6(3), 23; https://doi.org/10.3390/axioms6030023
Received: 30 June 2017 / Revised: 26 July 2017 / Accepted: 27 July 2017 / Published: 30 July 2017
(This article belongs to the Collection Topological Groups)
be a category whose objects are semigroups with topology and morphisms are closed semigroup relations, in particular, continuous homomorphisms. An object X of the category is called if for each morphism -closed in the category the image is closed in Y. In the paper we survey existing and new results on topological groups, which are -closed for various categories of topologized semigroups.
Keywords: topological group; paratopological group; topological semigroup; absolutely closed topological group; topological group of compact exponent
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Banakh, T. Categorically Closed Topological Groups. Axioms 2017, 6, 23.
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Banakh T. Categorically Closed Topological Groups. Axioms. 2017; 6(3):23.Chicago/Turabian Style
Banakh, Taras. 2017. "Categorically Closed Topological Groups." Axioms 6, no. 3: 23.
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