LΣ(≤ ω)-spaces and spaces of continuous functions

• Autorzy: Israel Lara , Oleg Okunev
• Języki publikacji: EN

Abstrakty

EN

We present a few results and problems related to spaces of continuous functions with the topology of pointwise convergence and the classes of LΣ(≤ ω)-spaces; in particular, we prove that every Gul’ko compact space of cardinality less or equal to $$ \mathfrak{c} $$ is an LΣ(≤ ω)-space.

Słowa kluczowe

EN

Lindelöf Σ-spaces; Pointwise convergence; Compact-valued mappings; Gul’ko compact spaces

Kategorie tematyczne

• 54C35: Function spaces
• 54C60: Set-valued maps
• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 4
• Strony: 754-762

Daty

wydano

2010-08-01

online

2010-07-24

Twórcy

autor

Israel Lara

• Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, Mexico

autor

Oleg Okunev

• Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, Mexico

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0039-y