Functional characterizations of p-spaces

• Autorzy: Ľubica Holá
• Języki publikacji: EN

Abstrakty

EN

We show that a completely regular space Y is a p-space (a Čech-complete space, a locally compact space) if and only if given a dense subspace A of any topological space X and a continuous f: A → Y there are a p-embedded subset (resp. a G δ-subset, an open subset) M of X containing A and a quasicontinuous subcontinuous extension f*: M → Y of f continuous at every point of A. A result concerning a continuous extension to a residual set is also given.

Słowa kluczowe

EN

p-space; Čech-complete space; p-embedded; Extension of a function; Quasicontinuous function; Subcontinuous function

Kategorie tematyczne

• 54E18: p -spaces, M -spaces, σ -spaces, etc.
• 54C20: Extension of maps

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 12
• Strony: 2197-2202

Daty

wydano

2013-12-01

online

2013-10-08

Twórcy

autor

Ľubica Holá

• Institute of Mathematics

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0311-z