Results 121 to 130 of about 560 (152)

Group reflection and precompact paratopological groups

Topological Algebra and its Applications, 2013
Tkachenko Mikhail
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On the extent of star countable spaces

Open Mathematics, 2011
Alas Ofelia, Junqueira Lucia, Mill Jan, Tkachuk Vladimir, Wilson Richard   +4 more
doaj   +1 more source

Hard pseudocompact spaces

Quaestiones Mathematicae, 2012
The purpose of this paper is to show that hard pseudocompact spaces are indeed a significant generalisation of pseudocompact spaces on one hand and realcompact spaces on the other. To achieve this we have provided four intrinsic characterisations of hard pseudocompact spaces, which was absent in the literature.
Ghosh, Partha Pratim, Mitra, Biswajit
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Proper Pseudocompact Subgroups of Pseudocompact Abelian Groups

Annals of the New York Academy of Sciences, 1994
ABSTRACT: We prove among other things that if G is a pseudocompact Abelian topological group such that |G| > c or ω1≤w(G)≤ c then G has a proper dense pseudocompact subgroup.
W W Comfort, Jan Van Mill
exaly   +2 more sources

Locally pseudocompact topological groups

Topology and Its Applications, 1995
A topological group is said to be locally pseudocompact if the identity has a pseudocompact neighborhood (equivalently: if the identity has a local basis of pseudocompact neighborhoods). Such groups are locally bounded in the sense of A.
W W Comfort
exaly   +2 more sources

A-pseudocompact spaces

, 1990
In this paper we study the spaces for which the topology generated by the A-closure is pseudocompact.
FEDELI, Alessandro
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Pseudocompact Mal'tsev spaces

Topology and Its Applications, 1998
A theorem due to Comfort and Ross asserts that the product of any family of pseudocompact topological groups is pseudocompact. We generalize this theorem to the case of Mal'tsev spaces.
E.A. Reznichenko, Reznichenko, E.A., Uspenskij, V.V., V.V. Uspenskij   +3 more
exaly   +2 more sources

Continuous functions on locally pseudocompact groups

Topology and Its Applications, 1998
In this paper we explore the relation between locally pseudocompact groups and bƒ-spaces. Namely, we point out that bƒ-continuous functions appear in a natural way when studying the exponential map.
Manuel Sanchís
exaly   +2 more sources

Sums, products, and mappings of weakly pseudocompact spaces

Topology and Its Applications, 1996
Each open subspace of a weakly pseudocompact space is either weakly pseudocompact or locally compact Lindelöf. A topological sum is weakly pseudocompact if and only if 1.(1) each summand is either weakly pseudocompact or locally compact Lindelöf and2.(2)
Eckertson, Frederick W., Frederick W. Eckertson   +1 more
exaly   +2 more sources

Weakly Pseudocompact Frames

Applied Categorical Structures, 2007
A Tychonoff space is \textit{weakly pseudocompact} in case it is \(G_{\delta}\)-dense in some of its compactifications [\textit{S. Garcia-Ferreira} and \textit{A. Garcia-Maynez}, ``On weakly-pseudocompact spaces'', Houston J. Math. 20, No. 1, 145--159 (1994; Zbl 0809.54012)]. In the present paper, the authors extend the notion of weak pseudocompactness
Themba Dube, Joanne Walters-Wayland
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