Difference between revisions of "Trivial topology"
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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]]. | 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]]. | ||
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Latest revision as of 20:48, July 13, 2016
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.