Ultraconnected topological space
From Encyclopedia of Mathematics
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A topological space in which no two non-empty closed subsets are disjoint or equivalently the closures of singletons are never disjoint. An ultraconnected space is connected and indeed path-connected.
See: Connectivity for references.
How to Cite This Entry:
Ultraconnected topological space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Ultraconnected_topological_space&oldid=37312
Ultraconnected topological space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Ultraconnected_topological_space&oldid=37312