On a construction of perfectly normal spaces and its applications to dimension theory
Gary Gruenhage, Elżbieta Pol (1983)
Fundamenta Mathematicae
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Gary Gruenhage, Elżbieta Pol (1983)
Fundamenta Mathematicae
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Nadezhda Ribarska (2000)
Studia Mathematica
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A characterization of topological spaces admitting a countable cover by sets of small local diameter close in spirit to known characterizations of fragmentability is obtained. It is proved that if X and Y are Hausdorff compacta such that C(X) has an equivalent p-Kadec norm and has a countable cover by sets of small local norm diameter, then has a countable cover by sets of small local norm diameter as well.
L. Polkowski (1983)
Fundamenta Mathematicae
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Ernest A. Michael (1971)
Compositio Mathematica
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A. Ostaszewski (1981)
Fundamenta Mathematicae
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K. Alster (1975)
Fundamenta Mathematicae
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Yukinobu Yajima (1984)
Fundamenta Mathematicae
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B. Tomaszewski (1979)
Fundamenta Mathematicae
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K. Alster (1979)
Fundamenta Mathematicae
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Teodor Przymusiński (1980)
Fundamenta Mathematicae
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