Results 51 to 60 of about 212 (106)
On zero-dimensionality and the connected component of locally pseudocompact groups
, 2010 A topological group is locally pseudocompact if it contains a nonempty open set with pseudocompact closure. In this paper, we prove that if G is a group with the property that every closed subgroup of G is locally pseudocompact, then G0 is dense in the ...
DIKRANJAN, Dikran +3 more
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, 2023 We show that all countable subsets of any pseudocompact quasitopological group in the form of a Korovin orbit are closed, discrete, and $C^\ast$-embedded.
Reznichenko, Evgenii, Tkachenko, Mikhail
core
Compact groups containing dense pseudocompact subgroups without non-trivial convergent sequences
, 2006 Let G be compact abelian group such that w(C(G))=w(C(G))ω. We prove that if|C(G)|⩾m(G/C(G)), then G contains a dense pseudocompact subgroup without non-trivial convergent sequences, where C(G) is the component of the identity of G and m(G) is the ...
Garcia-Ferreira, S. +3 more
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Homology of pseudocompact algebras: the frontiers of Han\'s conjecture
, 2023 Esta dissertação possui como fio condutor a seguinte conjectura, proposta por Y. Han em 2006 e ainda não solucionada, acerca de álgebras de dimensão finita: se a dimensão da homologia de Hochschild é finita, então a dimensão global também é finita. Assim,
Cruz, Guilherme da Costa
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Pseudocompact refinements of compact group topologies
Mathematische Zeitschrift, 1994 The authors address aspects of this general question: Given an infinite compact group \(G=\langle G,{\mathcal T}\rangle\), is there a pseudocompact group topology (hereafter: PGT) \(\mathcal V\) for \(G\) such that \({\mathcal V}\supseteq{\mathcal T}\) and \({\mathcal V}\neq {\mathcal T}\)? If so, can \(\mathcal V\) be chosen of maximal weight (that is,
COMFORT, W.W., Remus, Dieter
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Cardinal numbers associated with dense pseudocompact, countably compact, and ω-bounded subgroups
, 1998 A brief survey is offered in Section 1 on earlier progress in the solution of two related problems concerning dense proper pseudocompact (countably compact, ω-bounded) subgroups of compact nonmetrizable groups. These are: Does every nonmetrizable compact
Itzkowitz, Gerald L.
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On refinements of ω-bounded group topologies
, 2012 A topological group is ω-bounded if the closure of any countable subset is compact. Clearly, the ω-bounded groups are countably compact and hence, precompact.
Díaz Nieto, José Manuel
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Dieudonné completion and bf-group actions
, 2006 If G(X) denotes either the free topological group or the free Abelian topological group over a topological space X, we prove that ∏i=1nG(Xi) is a hemibounded bf-group whenever each Xi is a pseudocompact space (which provides a new way to generate this ...
Sanchis, Manuel, González, Francisco
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Forcing hereditarily separable countably compact group topologies on Abelian groups
, 2005 Let c denote the cardinality of the continuum. Using forcing we produce a model of ZFC + CH with 2^c “arbitrarily large” and, in this model, obtain a characterization of the Abelian groups G (necessarily of size at most 2^c) which admit: (i) a ...
DIKRANJAN, Dikran +2 more
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Pseudocompactness and uniform continuity in topological groups [PDF]
Pacific Journal of Mathematics, 1966 Comfort, W. W., Ross, Kenneth A.
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