Invariant metrics on $G$-spaces

Title:

Invariant metrics on $G$-spaces

Creator:

Hajduk, Bogusław and Walczak, Rafał

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:214b1ebf-4902-4ee8-a07b-a8500c352739
uuid:214b1ebf-4902-4ee8-a07b-a8500c352739

Subject:

G-space, invariant metric, and slice

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

449-466

Source:

Czechoslovak Mathematical Journal | 2003 Volume:53 | Number:2

Harvested from:

CDK

Metadata only:

false