Inscribing compact non-σ-porous sets into analytic non-σ-porous sets

Miroslav Zelený, and Luděk Zajíček. "Inscribing compact non-σ-porous sets into analytic non-σ-porous sets." Fundamenta Mathematicae 185.1 (2005): 19-39. <http://eudml.org/doc/282724>.

@article{MiroslavZelený2005,
abstract = {The main aim of this paper is to give a simpler proof of the following assertion. Let A be an analytic non-σ-porous subset of a locally compact metric space, E. Then there exists a compact non-σ-porous subset of A. Moreover, we prove the above assertion also for σ-P-porous sets, where P is a porosity-like relation on E satisfying some additional conditions. Our result covers σ-⟨g⟩-porous sets, σ-porous sets, and σ-symmetrically porous sets.},
author = {Miroslav Zelený, Luděk Zajíček},
journal = {Fundamenta Mathematicae},
keywords = {porous; -porous},
language = {eng},
number = {1},
pages = {19-39},
title = {Inscribing compact non-σ-porous sets into analytic non-σ-porous sets},
url = {http://eudml.org/doc/282724},
volume = {185},
year = {2005},
}

TY - JOUR
AU - Miroslav Zelený
AU - Luděk Zajíček
TI - Inscribing compact non-σ-porous sets into analytic non-σ-porous sets
JO - Fundamenta Mathematicae
PY - 2005
VL - 185
IS - 1
SP - 19
EP - 39
AB - The main aim of this paper is to give a simpler proof of the following assertion. Let A be an analytic non-σ-porous subset of a locally compact metric space, E. Then there exists a compact non-σ-porous subset of A. Moreover, we prove the above assertion also for σ-P-porous sets, where P is a porosity-like relation on E satisfying some additional conditions. Our result covers σ-⟨g⟩-porous sets, σ-porous sets, and σ-symmetrically porous sets.
LA - eng
KW - porous; -porous
UR - http://eudml.org/doc/282724
ER -