Ultraconnected and T1 implies one-point space: Difference between revisions
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Suppose <math>X</math> is a [[topological space]] that is both an [[uses property satisfaction of::ultraconnected space]] and a [[uses property satisfaction of::T1 space]]. Then, <math>X</math> must be a [[one-point space]]. | Suppose <math>X</math> is a [[topological space]] that is both an [[uses property satisfaction of::ultraconnected space]] and a [[uses property satisfaction of::T1 space]]. Then, <math>X</math> must be a [[one-point space]]. | ||
==Related facts== | |||
===Similar facts=== | |||
* [[Irreducible and Hausdorff implies one-point space]] | |||
Latest revision as of 20:00, 26 January 2012
Statement
Suppose is a topological space that is both an ultraconnected space and a T1 space. Then, must be a one-point space.