Indiscrete topology: Difference between revisions

Latest revision as of 15:02, 4 January 2013

Redirect to:

@@ Line 1: / Line 1: @@
-{{subpages}}
+#REDIRECT [[Indiscrete space]]
-In [[topology]], an '''indiscrete space''' is a [[topological space]] with the '''indiscrete topology''', in which the only open [[subset]]s are the empty subset and the space itself.
-==Properties==
-* An indiscrete space is [[metric space|metrizable]] if and only if it has at most one point
-* An indiscrete space is [[compact space|compact]].
-* An indiscrete space is [[connected space|connected]].
-* Every map from a topological space to an indiscrete space is [[continuous map|continuous]].
-==References==
-* {{cite book | author=Lynn Arthur Steen | authorlink=Lynn Arthur Steen | coauthors= J. Arthur Seebach jr | title=[[Counterexamples in Topology]] | year=1978 | publisher=[[Springer-Verlag]] | location=Berlin, New York | isbn=0-387-90312-7 }}