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Pseudocompact Topological Groups

2018
Topological groups constitute a very special subclass of topological spaces. Every topological group satisfying the \(T_0\) separation axiom is automatically Tychonoff, which means that in the class of topological groups, the axioms of separation \(T_0\), \(T_1\), \(T_2\), \(T_3\) and \(T_{3.5}\) are all equivalent.
openaire   +1 more source

Pseudocompact $$\varDelta $$-spaces are often scattered

Monatshefte Fur Mathematik, 2021
Arkady Leiderman   +2 more
exaly  

Pseudocompact topologies on groups

1992
This paper is a summary of results that appeared in preprint form [Dept. Math. Stat. York Univ., July 1991 (preprint \#91-19)]. They establish classes of infinite groups that admit a pseudocompact topology. A partial list is i) free groups and free Abelian groups, ii) torsion free Abelian groups, iii) torsion Abelian groups and iv) divisible Abelian ...
DIKRANJAN, Dikran, Shakhmatov D.
openaire   +2 more sources

m-Pseudocompactness

Transactions of the American Mathematical Society, 1962
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Extension of mappings from the product of pseudocompact spaces

Topology and Its Applications, 2022
Evgenii Reznichenko
exaly  

Products of Locally Pseudocompact Topological Groups

Annals of the New York Academy of Sciences, 1992
F Javier Trigos-Arrieta
exaly  

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