Title
Categorically Closed Topological Groups.
Abstract
Let (C) over right arrow 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 (C) over right arrow is called (C) over right arrow -closed if for each morphism phi subset of X x Y in the category (C) over right arrow the image phi (X) = {y is an element of Y : there exists x is an element of X (x, y) is an element of phi} is closed in Y. In the paper we survey existing and new results on topological groups, which are (C) over right arrow -closed for various categories (C) over right arrow of topologized semigroups.
Year
DOI
Venue
2017
10.3390/axioms6030023
AXIOMS
Keywords
DocType
Volume
topological group,paratopological group,topological semigroup,absolutely closed topological group,topological group of compact exponent
Journal
6
Issue
ISSN
Citations 
3
2075-1680
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Taras O. Banakh197.24