Wszystkie pola: Countable cover by sets of local small diameter - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On having a countable cover by sets of small local diameter
Autorzy:: Ribarska, Nadezhda K.
Powiązania:: https://bibliotekanauki.pl/articles/1206073.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: countable cover by sets of small local diameter
fragmentability
Kadec renorming
Opis:: 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 $C_p(Y)$ has a countable cover by sets of small local norm diameter, then $C_p(X×Y)$ has a countable cover by sets of small local norm diameter as well.
Źródło:: Studia Mathematica; 2000, 140, 2; 99-116
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Kadec norms and Borel sets in a Banach space
Autorzy:: Raja, M.
Powiązania:: https://bibliotekanauki.pl/articles/1216917.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Borel sets
Countable cover by sets of local small diameter
Kadec renorming
Radon-Nikodym compact spaces
Opis:: We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results. We characterize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Moltó, Orihuela and Troyanski.
Źródło:: Studia Mathematica; 1999, 136, 1; 1-16
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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