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Currently displaying 1 – 3 of 3

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Narrow spaces, products of topological spaces and supertiny sequences of A. Szymański

Aleksandr I. Veksler — 1989

Časopis pro pěstování matematiky

Functional characteristics of $P^{'}$ -spaces

Aleksandr I. Veksler — 1977

Commentationes Mathematicae Universitatis Carolinae

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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