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Особенности строения $o$ -пополнения архимедовой $ℓ$ -группы с сильной единицей

Andrey V. Koldunov — 1987

Czechoslovak Mathematical Journal

Архимедовы решеточно упорядоченные группы co свойством отщепляемости

Andrey V. Koldunov; G. Ja. Rotkovič — 1987

Czechoslovak Mathematical Journal

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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Особенности строения o -пополнения архимедовой ℓ -группы с сильной единицей

Архимедовы решеточно упорядоченные группы co свойством отщепляемости

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

Особенности строения $o$ -пополнения архимедовой $ℓ$ -группы с сильной единицей

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