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Les topologies sygma-Lebesgue sur C(X).

Belmesnaoui Aqzzouz, Redouane Nouira (2004)

Extracta Mathematicae

We prove that if X is a compact topological space which contains a nontrivial metrizable connected closed subset, then the vector lattice C(X) does not carry any sygma-Lebesgue topology.

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