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Dikranjan, Dikran (ed.) et al., Abelian groups, module theory, and topology. Proceedings in honour of Adalberto Orsatti’s 60th birthday, Padua, Italy, 1997. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 201, 389-402 (1998).

Reviewer: V.Campian (Cluj-Napoca)

MSC: 22A05 03E50 22A10 22B05 54D30 54D65 54H11

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Tomita, Artur Hideyuki

On infinite products of countably compact groups. (English) Zbl 0915.54031

Simon, Petr (ed.), Proceedings of the 8th Prague topological symposium, Prague, Czech Republic, August 18–24, 1996. North Bay, ON: Topology Atlas, 362-370 (1997).

Reviewer: Michael G.Tkachenko (México)

MSC: 54H11 54D20 54B10 03E50

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Full Text: Link

Tomita, A. H.

On the square of Wallace semigroups and topological free Abelian groups. (English) Zbl 0918.54037

Topol. Proc. 22, 331-349 (1997).

Reviewer: W.W.Comfort (Middletown)

MSC: 54H11 22A15 54B10 03E50 22A05 54D20

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Tomita, Artur H.

The Wallace problem: A counterexample from MA\(_{\text{COUNTABLE}}\) and \(p\)-compactness. (English) Zbl 0873.22002

Can. Math. Bull. 39, No. 4, 486-498 (1996).

Reviewer: Lj.D.Kočinac (Aleksandrovać)

MSC: 22A99 54A35 03E50

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Found 34 Documents (Results 1–34)

Countably compact group topologies on arbitrarily large free abelian groups. (English) Zbl 1522.54049

On powers of countably pracompact groups. (English) Zbl 1512.54006

Some pseudocompact-like properties in certain topological groups. (English) Zbl 1496.54020

Comfort’s question on powers in \(\mathbb Q ^{(2^\mathfrak c)}\) and a Wallace semigroup whose cube is countably compact. arXiv:2210.08688

Algebraic structure of countably compact non-torsion abelian groups of size continuum from selective ultrafilters. (English) Zbl 1469.54026

Forcing a classification of non-torsion abelian groups of size at most \(2^{\mathfrak{c}}\) with non-trivial convergent sequences. (English) Zbl 1481.54029

On countably compact group topologies without non-trivial convergent sequences on \(\mathbb{Q}^{(\kappa)}\) for arbitrarily large \(\kappa\) and a selective ultrafilter. (English) Zbl 1462.54032

Selectively pseudocompact groups and \(p\)-compactness. (English) Zbl 1471.54021

Countably compact group topologies on the free abelian group of size continuum (and a Wallace semigroup) from a selective ultrafilter. (English) Zbl 1449.54043

Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences. (English) Zbl 1427.54040

A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences. (English) Zbl 1418.54018

Finite powers of selectively pseudocompact groups. (English) Zbl 1404.54024

On topological groups admitting a base at the identity indexed by \(\omega ^{\omega}\). (English) Zbl 1382.22002

A group topology on the free abelian group of cardinality \(\mathfrak{c}\) that makes its finite powers countably compact. (English) Zbl 1334.54054

Cellularity in subgroups of paratopological groups. (English) Zbl 1321.22007

A pseudocompact group which is not strongly pseudocompact. (English) Zbl 1330.54045

Countable compactness of powers of HFD groups. (English) Zbl 1310.54024

A countably compact group topology on abelian almost torsion-free groups from selective ultrafilters. (English) Zbl 1275.54023

Almost \(p\)-compact groups. (English) Zbl 1244.54025

A group topology on the free Abelian group of cardinality \(\mathfrak c\) that makes its square countably compact. (English) Zbl 1234.54045

Pseudocompact group topologies with prescribed topological subspaces. (English) Zbl 1182.22001

HFD groups in the Solovay model. (English) Zbl 1173.54016

Countably compact topological group topologies on free Abelian groups from selective ultrafilters. (English) Zbl 1116.54004

A solution to Comfort’s question on the countable compactness of powers of a topological group. (English) Zbl 1084.54003

Countable compactness and finite powers of topological groups without convergent sequences. (English) Zbl 1071.54020

Countably compact groups from a selective ultrafilter. (English) Zbl 1062.54037

Countably compact groups and \(p\)-limits. (English) Zbl 1050.54024

Forcing countably compact group topologies on a larger free Abelian group. (English) Zbl 1027.54057

Extraresolvability and cardinal arithmetic. (English) Zbl 0976.54004

On the number of countably compact group topologies on a free Abelian group. (English) Zbl 0983.54039

Suitable sets in products of topological groups and in groups equipped with the Bohr topology. (English) Zbl 0913.22003

On infinite products of countably compact groups. (English) Zbl 0915.54031

On the square of Wallace semigroups and topological free Abelian groups. (English) Zbl 0918.54037

The Wallace problem: A counterexample from MA\(_{\text{COUNTABLE}}\) and \(p\)-compactness. (English) Zbl 0873.22002

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