Geodesic
Normal spaces and the Lusin-Menchoff property
Mathematica Bohemica, Tome 122 (1997) no. 3, pp. 295-299

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MR Zbl
We study the relation between the Lusin-Menchoff property and the $F_\sigma$-"semiseparation" property of a fine topology in normal spaces. Three examples of normal topological spaces having the $F_\sigma$-"semiseparation" property without the Lusin-Menchoff property are given. A positive result is obtained in the countable compact space.
We study the relation between the Lusin-Menchoff property and the $F_\sigma$-"semiseparation" property of a fine topology in normal spaces. Three examples of normal topological spaces having the $F_\sigma$-"semiseparation" property without the Lusin-Menchoff property are given. A positive result is obtained in the countable compact space.
DOI : 10.21136/MB.1997.126145
Classification : 26A03, 31C40, 54A10
Keywords: fine topology; finely separated sets; Lusin-Menchoff property; normal space 
Pyrih, Pavel. Normal spaces and the Lusin-Menchoff property. Mathematica Bohemica, Tome 122 (1997) no. 3, pp. 295-299. doi: 10.21136/MB.1997.126145
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