Difference between revisions of "Trivial topology"
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| − | The '''trivial topology''' on a set X only makes the [[empty set]] and the entire set X an open subset of X. This is the topology on X with the smallest [[cardinality]]. | + | The '''trivial topology''' (sometimes called the '''indiscrete topology''') on a set X only makes the [[empty set]] and the entire set X an open subset of X. This is the topology on X with the smallest [[cardinality]]. |
[[category: Topology]] | [[category: Topology]] | ||
Revision as of 14:54, January 18, 2009
The trivial topology (sometimes called the indiscrete topology) on a set X only makes the empty set and the entire set X an open subset of X. This is the topology on X with the smallest cardinality.