On universality of finite powers of locally path-connected meager spaces

Taras Banakh, and Robert Cauty. "On universality of finite powers of locally path-connected meager spaces." Colloquium Mathematicae 102.1 (2005): 87-95. <http://eudml.org/doc/284112>.

@article{TarasBanakh2005,
abstract = {It is shown that for every integer n the (2n+1)th power of any locally path-connected metrizable space of the first Baire category is 𝓐₁[n]-universal, i.e., contains a closed topological copy of each at most n-dimensional metrizable σ-compact space. Also a one-dimensional σ-compact absolute retract X is found such that the power X^\{n+1\} is 𝓐₁[n]-universal for every n.},
author = {Taras Banakh, Robert Cauty},
journal = {Colloquium Mathematicae},
keywords = {locally path-connected; -compact; universal; meager},
language = {eng},
number = {1},
pages = {87-95},
title = {On universality of finite powers of locally path-connected meager spaces},
url = {http://eudml.org/doc/284112},
volume = {102},
year = {2005},
}

TY - JOUR
AU - Taras Banakh
AU - Robert Cauty
TI - On universality of finite powers of locally path-connected meager spaces
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 1
SP - 87
EP - 95
AB - It is shown that for every integer n the (2n+1)th power of any locally path-connected metrizable space of the first Baire category is 𝓐₁[n]-universal, i.e., contains a closed topological copy of each at most n-dimensional metrizable σ-compact space. Also a one-dimensional σ-compact absolute retract X is found such that the power X^{n+1} is 𝓐₁[n]-universal for every n.
LA - eng
KW - locally path-connected; -compact; universal; meager
UR - http://eudml.org/doc/284112
ER -