On cardinal invariants
Archangelskij, A. V.
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Archangelskij, A. V.
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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,...
V. Kannan (1979)
Compositio Mathematica
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Rajagopalan, M.
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Bella, Angelo (2005)
Mathematica Pannonica
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Aleksander V. Arhangel'skii (1978)
Commentationes Mathematicae Universitatis Carolinae
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