sigma-Lebesgue topologies on C(X).

Belmesnaoui Aqzzouz; Redouane Nouira

Extracta Mathematicae (2004)

  • Volume: 19, Issue: 3, page 313-316
  • ISSN: 0213-8743

Abstract

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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.

How to cite

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Aqzzouz, Belmesnaoui, and Nouira, Redouane. "Les topologies sygma-Lebesgue sur C(X).." Extracta Mathematicae 19.3 (2004): 313-316. <http://eudml.org/doc/38769>.

@article{Aqzzouz2004,
author = {Aqzzouz, Belmesnaoui, Nouira, Redouane},
journal = {Extracta Mathematicae},
keywords = {Espacios lineales topológicos; Espacios normados; Orden; Retículo de Banach; locally solid topology; -Lebesgue topology; vector lattice},
language = {fre},
number = {3},
pages = {313-316},
title = {Les topologies sygma-Lebesgue sur C(X).},
url = {http://eudml.org/doc/38769},
volume = {19},
year = {2004},
}

TY - JOUR
AU - Aqzzouz, Belmesnaoui
AU - Nouira, Redouane
TI - Les topologies sygma-Lebesgue sur C(X).
JO - Extracta Mathematicae
PY - 2004
VL - 19
IS - 3
SP - 313
EP - 316
LA - fre
KW - Espacios lineales topológicos; Espacios normados; Orden; Retículo de Banach; locally solid topology; -Lebesgue topology; vector lattice
UR - http://eudml.org/doc/38769
ER -

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