Displaying similar documents to “Metrizability of precompact sets: an elementary proof.”

A note on Fréchet-Urysohn locally convex spaces.

Jerzy Kąkol, Manuel López Pellicer (2007)

RACSAM

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Recently Cascales, Kąkol and Saxon showed that in a large class of locally convex spaces (so called class G) every Fréchet-Urysohn space is metrizable. Since there exist (under Martin’s axiom) nonmetrizable separable Fréchet-Urysohn spaces C(X) and only metrizable spaces C(X) belong to class G, we study another sufficient conditions for Fréchet-Urysohn locally convex spaces to be metrizable.