Strongly base-paracompact spaces

Porter, John E.. "Strongly base-paracompact spaces." Commentationes Mathematicae Universitatis Carolinae 44.2 (2003): 307-314. <http://eudml.org/doc/249155>.

@article{Porter2003,
abstract = {A space $X$ is said to be strongly base-paracompact if there is a basis $\mathcal \{B\}$ for $X$ with $|\mathcal \{B\}|=w(X)$ such that every open cover of $X$ has a star-finite open refinement by members of $\mathcal \{B\}$. Strongly paracompact spaces which are strongly base-paracompact are studied. Strongly base-paracompact spaces are shown have a family of functions $\mathcal \{F\}$ with cardinality equal to the weight such that every open cover has a locally finite partition of unity subordinated to it from $\mathcal \{F\}$.},
author = {Porter, John E.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {base-paracompact; strongly base-paracompact; partition of unity; Lindelöf spaces; base-paracompact; strongly base-paracompact; partition of unity; Lindelöf spaces},
language = {eng},
number = {2},
pages = {307-314},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Strongly base-paracompact spaces},
url = {http://eudml.org/doc/249155},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Porter, John E.
TI - Strongly base-paracompact spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 2
SP - 307
EP - 314
AB - A space $X$ is said to be strongly base-paracompact if there is a basis $\mathcal {B}$ for $X$ with $|\mathcal {B}|=w(X)$ such that every open cover of $X$ has a star-finite open refinement by members of $\mathcal {B}$. Strongly paracompact spaces which are strongly base-paracompact are studied. Strongly base-paracompact spaces are shown have a family of functions $\mathcal {F}$ with cardinality equal to the weight such that every open cover has a locally finite partition of unity subordinated to it from $\mathcal {F}$.
LA - eng
KW - base-paracompact; strongly base-paracompact; partition of unity; Lindelöf spaces; base-paracompact; strongly base-paracompact; partition of unity; Lindelöf spaces
UR - http://eudml.org/doc/249155
ER -