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Maximal nowhere dense P -sets in basically disconnected spaces and F -spaces

Andrey V. Koldunov;  Aleksandr I. Veksler — 2001

Commentationes Mathematicae Universitatis Carolinae

In [5] the following question was put: are there any maximal n.d. sets in ω * ? Already in [9] the negative answer (under ) to this question was obtained. Moreover, in [9] it was shown that no P -set can be maximal n.d. In the present paper the notion of a maximal n.d. P -set is introduced and it is proved that under there is no such a set in ω * . The main results are Theorem 1.10 and especially Theorem 2.7(ii) (with Example in Section 3) in which the problem of the existence of maximal n.d. P -sets in...

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