Maximal nowhere dense -sets in basically disconnected spaces and -spaces
In [5] the following question was put: are there any maximal n.d. sets in ? Already in [9] the negative answer (under MA) to this question was obtained. Moreover, in [9] it was shown that no -set can be maximal n.d. In the present paper the notion of a maximal n.d. -set is introduced and it is proved that under CH there is no such a set in . 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. -sets...