On some problems of local approximability in compact spaces
Tironi, G., Isler, R.
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Displaying similar documents to “On cardinal invariants”
On some problems of local approximability in compact spaces
Ordinal invariants in topology II. Sequential order of compactifications
V. Kannan (1979)
Compositio Mathematica
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Sequential compactness vs. countable compactness
Angelo Bella, Peter Nyikos (2010)
Colloquium Mathematicae
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The general question of when a countably compact topological space is sequentially compact, or has a nontrivial convergent sequence, is studied from the viewpoint of basic cardinal invariants and small uncountable cardinals. It is shown that the small uncountable cardinal 𝔥 is both the least cardinality and the least net weight of a countably compact space that is not sequentially compact, and that it is also the least hereditary Lindelöf degree in most published models. Similar results,...
Compact C-spaces and S-spaces
Rajagopalan, M.
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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)].