On some problems of local approximability in compact spaces
Tironi, G., Isler, R.
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On some problems of local approximability in compact spaces
Paratopological (topological) groups with certain networks
Chuan Liu (2014)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we discuss certain networks on paratopological (or topological) groups and give positive or negative answers to the questions in [Lin2013]. We also prove that a non-locally compact, -gentle paratopological group is metrizable if its remainder (in the Hausdorff compactification) is a Fréchet-Urysohn space with a point-countable cs*-network, which improves some theorems in [Liu C., Metrizability of paratopological semitopological groups, Topology Appl. 159 (2012), 1415–1420], [Liu...
Absolute countable compactness of products and topological groups
Yan-Kui Song (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we generalize Vaughan's and Bonanzinga's results on absolute countable compactness of product spaces and give an example of a separable, countably compact, topological group which is not absolutely countably compact. The example answers questions of Matveev [8, Question 1] and Vaughan [9, Question (1)].
A class of spaces determined by sequences with their cluster points
Rishel, Thomas W. (1972)
Portugaliae mathematica
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On cardinal invariants
Archangelskij, A. V.
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Categories of topological spaces with sufficiently many sequentially closed spaces
Dikran Dikranjan, Jan Pelant (1997)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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