Invariant metrics on $G$-spaces

Hajduk, Bogusław, and Walczak, Rafał. "Invariant metrics on $G$-spaces." Czechoslovak Mathematical Journal 53.2 (2003): 449-466. <http://eudml.org/doc/30790>.

@article{Hajduk2003,
abstract = {Let $X$ be a $G$-space such that the orbit space $X/G$ is metrizable. Suppose a family of slices is given at each point of $X$. We study a construction which associates, under some conditions on the family of slices, with any metric on $X/G$ an invariant metric on $X$. We show also that a family of slices with the required properties exists for any action of a countable group on a locally compact and locally connected metric space.},
author = {Hajduk, Bogusław, Walczak, Rafał},
journal = {Czechoslovak Mathematical Journal},
keywords = {G-space; invariant metric; slice; -space; invariant metric; slice},
language = {eng},
number = {2},
pages = {449-466},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Invariant metrics on $G$-spaces},
url = {http://eudml.org/doc/30790},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Hajduk, Bogusław
AU - Walczak, Rafał
TI - Invariant metrics on $G$-spaces
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 449
EP - 466
AB - Let $X$ be a $G$-space such that the orbit space $X/G$ is metrizable. Suppose a family of slices is given at each point of $X$. We study a construction which associates, under some conditions on the family of slices, with any metric on $X/G$ an invariant metric on $X$. We show also that a family of slices with the required properties exists for any action of a countable group on a locally compact and locally connected metric space.
LA - eng
KW - G-space; invariant metric; slice; -space; invariant metric; slice
UR - http://eudml.org/doc/30790
ER -