Geodesic
Strongly base-paracompact spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 307-314 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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A space $X$ is said to be {\it strongly base-paracompact\/} if there is a basis $\Cal B$ for $X$ with $|\Cal B|=w(X)$ such that every open cover of $X$ has a star-finite open refinement by members of $\Cal B$. Strongly paracompact spaces which are strongly base-paracompact are studied. Strongly base-paracompact spaces are shown have a family of functions $\Cal{F}$ with cardinality equal to the weight such that every open cover has a locally finite partition of unity subordinated to it from $\Cal F$.
A space $X$ is said to be {\it strongly base-paracompact\/} if there is a basis $\Cal B$ for $X$ with $|\Cal B|=w(X)$ such that every open cover of $X$ has a star-finite open refinement by members of $\Cal B$. Strongly paracompact spaces which are strongly base-paracompact are studied. Strongly base-paracompact spaces are shown have a family of functions $\Cal{F}$ with cardinality equal to the weight such that every open cover has a locally finite partition of unity subordinated to it from $\Cal F$.
Classification : 54D20
Keywords: base-paracompact; strongly base-paracompact; partition of unity; Lindelöf spaces 
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     author = {Porter, John E.},
     title = {Strongly base-paracompact spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {307--314},
     year = {2003},
     volume = {44},
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     zbl = {1099.54021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2003_44_2_a8/}
}
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Porter, John E. Strongly base-paracompact spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 307-314. http://geodesic.mathdoc.fr/item/CMUC_2003_44_2_a8/