On some problems of local approximability in compact spaces
Tironi, G., Isler, R.
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Displaying similar documents to “A class of spaces determined by sequences with their cluster points”
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...
Sequential convergence in
David H. Fremlin (1994)
Commentationes Mathematicae Universitatis Carolinae
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I discuss the number of iterations of the elementary sequential closure operation required to achieve the full sequential closure of a set in spaces of the form .
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)].
On cardinal invariants
Archangelskij, A. V.
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