Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Countably determined sets and a conjecture of C. W. Henson - MaRDI portal

Countably determined sets and a conjecture of C. W. Henson (Q1907193)

From MaRDI portal





scientific article; zbMATH DE number 840187
Language Label Description Also known as
English
Countably determined sets and a conjecture of C. W. Henson
scientific article; zbMATH DE number 840187

    Statements

    Countably determined sets and a conjecture of C. W. Henson (English)
    0 references
    0 references
    3 June 1996
    0 references
    The author uses the Robinson methods of nonstandard analysis to give further insight into the relationship between the inverse standard part operator \(st^{-1}\) and topological concepts associated with constructive set theory. He develops a considerable amount of machinery associated with the inverse standard part operator and countably many objects. Along the way, the author shows that \(st^{-1} (X)\) is Souslin-derived from the internal subsets of \(^*X\) if and only if \(X\) is Souslin-derived from the zero sets of \(\beta X\). The author presents other equivalent characterizations for \(st^{-1} (X)\) being Souslin-derived in theorem 3.2. I noticed two * (star) symbols missing.
    0 references
    Robinson methods
    0 references
    constructive set theory
    0 references
    Souslin-derived
    0 references

    Identifiers