# A note on Fréchet-Urysohn locally convex spaces.

Jerzy Kąkol; Manuel López Pellicer

RACSAM (2007)

- Volume: 101, Issue: 2, page 127-131
- ISSN: 1578-7303

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topKąkol, 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 -

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