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
Received: 30 June 2017 / Revised: 26 July 2017 / Accepted: 27 July 2017 / Published: 30 July 2017
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 -closed
if for each morphism
in the category
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.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Banakh, T. Categorically Closed Topological Groups. Axioms 2017, 6, 23.
Banakh T. Categorically Closed Topological Groups. Axioms. 2017; 6(3):23.
Banakh, Taras. 2017. "Categorically Closed Topological Groups." Axioms 6, no. 3: 23.
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