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31-XX Potential theory
31Cxx Other generalizations
31C40 Fine potential theory

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Norm and pointwise topologies need not be binormal.

Pavel Pyrih (1998)

Extracta Mathematicae

Normal spaces and the Lusin-Menchoff property

Pavel Pyrih (1997)

Mathematica Bohemica

We study the relation between the Lusin-Menchoff property and the $F_{σ}$ -“semiseparation” property of a fine topology in normal spaces. Three examples of normal topological spaces having the $F_{σ}$ -“semiseparation” property without the Lusin-Menchoff property are given. A positive result is obtained in the countable compact space.

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