1. Invariant metrics on $G$-spaces
- Creator:
- Hajduk, Bogusław and Walczak, Rafał
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- G-space, invariant metric, and slice
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public