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
Density of arc components in unicoherent continua - MaRDI portal

Density of arc components in unicoherent continua (Q756757)

From MaRDI portal





scientific article; zbMATH DE number 4192632
Language Label Description Also known as
English
Density of arc components in unicoherent continua
scientific article; zbMATH DE number 4192632

    Statements

    Density of arc components in unicoherent continua (English)
    0 references
    0 references
    0 references
    1990
    0 references
    The authors, using some techniques of \textit{Krasinkiewicz} and \textit{Minc}, prove that any semi-hereditarily unicoherent \(\omega\)-connected plane continuum has at most one dense arc component. If, in addition, the continuum is almost arcwise connected, then it has a dense arc component, and every other arc component is nowhere dense. In the sequel they construct some examples of continua one of which has exactly two arc components, both of which are dense, and the other with exactly three arc components, none of which is dense. Finally, some very interesting questions are posed.
    0 references
    unicoherent continuum
    0 references
    arcwise connected continua
    0 references
    arc component
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references