On regular but not completely regular spaces
classification
🧮 math.GN
keywords
regularcompletelyplanespacesanalyzebuildcounterexamplesenables
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We present how to obtain non-comparable regular but not completely regular spaces. We analyze a generalization of Mysior's example, extracting its underlying purely set-theoretic framework. This enables us to build simple counterexamples, using the Niemytzki plane, the Songefrey plane or Lusin gaps.
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