Invariant metrics on G-spaces
几何拓扑
2016-09-07 v1
摘要
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.
引用
@article{arxiv.math/0105230,
title = {Invariant metrics on G-spaces},
author = {Boguslaw Hajduk and Rafal Walczak},
journal= {arXiv preprint arXiv:math/0105230},
year = {2016}
}
备注
20 pages