Category:Definitions/Scattered Spaces
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This category contains definitions related to Scattered Spaces.
Related results can be found in Category:Scattered Spaces.
A topological space $T = \struct {S, \tau}$ is scattered if and only if it contains no non-empty subset which is dense-in-itself.
That is, $T = \struct {S, \tau}$ is scattered if and only if every non-empty subset $H$ of $S$ contains at least one point which is isolated in $H$.
Pages in category "Definitions/Scattered Spaces"
The following 4 pages are in this category, out of 4 total.