Tightness and π-character in centered spaces
Bell, Murray
Colloquium Mathematicae, Tome 79 (1999), p. 297-307 / Harvested from The Polish Digital Mathematics Library
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We continue an investigation into centered spaces, a generalization of dyadic spaces. The presence of large Cantor cubes in centered spaces is deduced from tightness considerations. It follows that for centered spaces X, πχ(X) = t(X), and if X has uncountable tightness, then t(X) = supκ : 2κ ⊂ X. The relationships between 9 popular cardinal functions for the class of centered spaces are justified. An example is constructed which shows, unlike the dyadic and polyadic properties, that the centered property is not preserved by passage to a zeroset.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:210720 
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Bell, Murray. Tightness and π-character in centered spaces. Colloquium Mathematicae, Tome 79 (1999) pp. 297-307. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv80i2p297bwm/

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