Difference between revisions of "Trivial topology"

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(New page: 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. [[Category:Mathe...)
 
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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]].
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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]].
  
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[[Category:Mathematics]]
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[[Category:Topology]]

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.