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Increasing chains and discrete reflection of cardinality
Spadaro, Santi
2013
Abstract
Combining ideas from two of our previous papers ([26]
and [27]), we refine Arhangel’skii Theorem by proving a cardinal inequality
of which this is a special case: any increasing union of strongly
discretely Lindelöf spaces without uncountable free sequences and with
countable pseudocharacter has cardinality at most continuum. We then
give a partial positive answer to a problem of Alan Dow on reflection
of cardinality by closures of discrete sets.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
45 (2013)
Publisher
EUT Edizioni Università di Trieste
Source
Santi Spadaro, "Increasing chains and discrete reflection of cardinality", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 45 (2013), pp. 73–82.
Languages
it
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