Category:Definitions/Irreducible Spaces

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This category contains definitions related to Irreducible Spaces.
Related results can be found in Category:Irreducible Spaces.


A topological space $T = \left({S, \tau}\right)$ is irreducible if and only if every two non-empty open sets of $T$ have non-empty intersection:

$\forall U, V \in \tau: U, V \ne \varnothing \implies U \cap V \ne \varnothing$