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searching for Finite topological space 3 found (17 total)

alternate case: finite topological space

Baire space (1,787 words) [view diff] exact match in snippet view article find links to article

Baire. Every locally compact sober space is a Baire space. Every finite topological space is a Baire space (because a finite space has only finitely many

Hausdorff space (2,163 words) [view diff] exact match in snippet view article find links to article

{\displaystyle X} has the lifting property with respect to the map from the finite topological space with two open points and one closed point to a single point. Almost

Normal space (1,600 words) [view diff] exact match in snippet view article find links to article

has the lifting property with respect to a map from a certain finite topological space with five points (two open and three closed) to the space with