A note on Fréchet-Urysohn locally convex spaces.

Kąkol, Jerzy, and López Pellicer, Manuel. "A note on Fréchet-Urysohn locally convex spaces.." RACSAM 101.2 (2007): 127-131. <http://eudml.org/doc/42014>.

@article{Kąkol2007,
abstract = {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 Cp(X) and only metrizable spaces Cp(X) belong to class G, we study another sufficient conditions for Fréchet-Urysohn locally convex spaces to be metrizable.},
author = {Kąkol, Jerzy, López Pellicer, Manuel},
journal = {RACSAM},
keywords = {-analytic space; analytic space; Fréchet-Urysohn space; topological group; Martin's axiom; Tikhonov space},
language = {eng},
number = {2},
pages = {127-131},
title = {A note on Fréchet-Urysohn locally convex spaces.},
url = {http://eudml.org/doc/42014},
volume = {101},
year = {2007},
}

TY - JOUR
AU - Kąkol, Jerzy
AU - López Pellicer, Manuel
TI - A note on Fréchet-Urysohn locally convex spaces.
JO - RACSAM
PY - 2007
VL - 101
IS - 2
SP - 127
EP - 131
AB - 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 Cp(X) and only metrizable spaces Cp(X) belong to class G, we study another sufficient conditions for Fréchet-Urysohn locally convex spaces to be metrizable.
LA - eng
KW - -analytic space; analytic space; Fréchet-Urysohn space; topological group; Martin's axiom; Tikhonov space
UR - http://eudml.org/doc/42014
ER -