Function spaces and local properties

Ziqin Feng, and Paul Gartside. "Function spaces and local properties." Fundamenta Mathematicae 223.3 (2013): 207-223. <http://eudml.org/doc/283057>.

@article{ZiqinFeng2013,
abstract = {Necessary conditions and sufficient conditions are given for $C_p(X)$ to be a (σ-) m₁- or m₃-space. (A space is an m₁-space if each of its points has a closure-preserving local base.) A compact uncountable space K is given with $C_\{p\}(K)$ an m₁-space, which answers questions raised by Dow, Ramírez Martínez and Tkachuk (2010) and Tkachuk (2011).},
author = {Ziqin Feng, Paul Gartside},
journal = {Fundamenta Mathematicae},
keywords = {function space, pointwise convergence topology; closure-preserving family; first countable space; monotone normality},
language = {eng},
number = {3},
pages = {207-223},
title = {Function spaces and local properties},
url = {http://eudml.org/doc/283057},
volume = {223},
year = {2013},
}

TY - JOUR
AU - Ziqin Feng
AU - Paul Gartside
TI - Function spaces and local properties
JO - Fundamenta Mathematicae
PY - 2013
VL - 223
IS - 3
SP - 207
EP - 223
AB - Necessary conditions and sufficient conditions are given for $C_p(X)$ to be a (σ-) m₁- or m₃-space. (A space is an m₁-space if each of its points has a closure-preserving local base.) A compact uncountable space K is given with $C_{p}(K)$ an m₁-space, which answers questions raised by Dow, Ramírez Martínez and Tkachuk (2010) and Tkachuk (2011).
LA - eng
KW - function space, pointwise convergence topology; closure-preserving family; first countable space; monotone normality
UR - http://eudml.org/doc/283057
ER -