# Functional characterizations of p-spaces

Open Mathematics (2013)

- Volume: 11, Issue: 12, page 2197-2202
- ISSN: 2391-5455

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topĽubica Holá. "Functional characterizations of p-spaces." Open Mathematics 11.12 (2013): 2197-2202. <http://eudml.org/doc/269007>.

@article{ĽubicaHolá2013,

abstract = {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.},

author = {Ľubica Holá},

journal = {Open Mathematics},

keywords = {p-space; Čech-complete space; p-embedded; Extension of a function; Quasicontinuous function; Subcontinuous function; -space; -embedded; extension of a function; quasicontinuous function; subcontinuous function},

language = {eng},

number = {12},

pages = {2197-2202},

title = {Functional characterizations of p-spaces},

url = {http://eudml.org/doc/269007},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Ľubica Holá

TI - Functional characterizations of p-spaces

JO - Open Mathematics

PY - 2013

VL - 11

IS - 12

SP - 2197

EP - 2202

AB - 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.

LA - eng

KW - p-space; Čech-complete space; p-embedded; Extension of a function; Quasicontinuous function; Subcontinuous function; -space; -embedded; extension of a function; quasicontinuous function; subcontinuous function

UR - http://eudml.org/doc/269007

ER -

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