Results 71 to 80 of about 212 (106)

Joint continuity in semitopological monoids and semilattices

open access: yes, 2023
In this paper we study the separately continuous actions of semitopological monoids on pseudocompact spaces. The main aim of this paper is to generalize Lawson's results to some class of pseudocompact spaces.
Osipov, Alexander V.   +1 more
core  

CLP-compactness for topological spaces and groups,

open access: yes, 2006
We study CLP-compact spaces (every cover consisting of clopen sets has a finite subcover) and CLP-compact topological groups. In particular, we extend a theorem on CLP-compactness of products from [J. Steprāns, A.
DIKRANJAN, Dikran, Dikran Dikranjan
core   +1 more source

Topological groups in which all countable subgroups are closed

open access: yes, 2012
We study the class CC of topological Abelian groups G such that all countable subgroups of G are closed. It is shown that all countably compact subsets of a bounded torsion group in CC are finite, while in general countably compact subsets of any group ...
Mikhail Tkachenko, Tkachenko, Mikhail
core   +1 more source

Critical power of minimality of countably compact and pseudocompact groups

open access: yes, 1990
The critical power of minimality of a topological group G measures the extent to whcih the powers of G are minimal. The paper provides pseudocompact and countably compact abelian groups with various values of the critiacl power of minimality. Some of the
Shakhmatov D., DIKRANJAN, Dikran
core  

Group reflection and precompact paratopological groups

open access: yesTopological Algebra and its Applications, 2013
Tkachenko Mikhail
doaj   +1 more source

Imposing psendocompact group topologies on Abeliau groups

open access: yes, 1993
The least cardinal λ such that some (equivalently: every) compact group with weight α admits a dense, pseudocompact subgroup of cardinality λ is denoted by m(α). Clearly, $m(α) ≤ 2^α$. We show:    Theorem 4.12.
Comfort, W., Remus, I.
core  

Extension of $b_f$-continuous functions defined on a product of $b_f$-groups

open access: yes, 2017
[EN] Let X be a bf -space and let G be a bf -group. By means of the exponential mapping we characterize when a bf -continuous function on X × G with values in a topologically complete sapce Z has a bf -continuous extension to β(X) × G.
Sanchis, Manuel
core  

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