Lebesgue Measurability of Separately Continuous Functions and Separability
A connection between the separability and the countable chain condition of spaces with L-property (a topological space X has L-property if for every topological space Y, separately continuous function f:X×Y→ℝ and open set I⊆ℝ, the set f−1(I) is an Fσ-set) is studied. We show that every completely re...
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Main Author: | V. V. Mykhaylyuk |
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Format: | Article |
Language: | English |
Published: |
Wiley
2007-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2007/54159 |
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