Spaces with a dispersion point are not cut point spaces - #1829
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felixpernegger
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Aug 14, 2026
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Replace T928
has a dispersion point + size at least 3 => not homogeneouswith a stronger versionhas a dispersion point => not a cut point space.This allows to derive that two more spaces are not cut point spaces:
https://topology.pi-base.org/spaces?q=Has+a+dispersion+point+%2B+%3FCut+point+space
The old T928 result can be derived from the new version together with existing theorems:
https://topology.pi-base.org/spaces?q=Has+a+dispersion+point+%2B+Cardinality+%24%5Cgeq+3%24+%2B+Homogeneous