English

On (strongly) ($\Theta$-)discrete homogeneous spaces

Geometric Topology 2022-11-15 v2 General Topology

Abstract

We introduce the classes of (strongly) (Θ\Theta-)discrete homogeneous spaces. We discuss the relationships of these classes to other classes of spaces possessing homogeneity-related properties, such as (strongly) (nn-)homogeneous spaces. Many examples are given distinguishing discrete homogeneity and other types of homogeneity.

Keywords

Cite

@article{arxiv.2208.00506,
  title  = {On (strongly) ($\Theta$-)discrete homogeneous spaces},
  author = {Vitaly Chatyrko and Alexandre Karassev},
  journal= {arXiv preprint arXiv:2208.00506},
  year   = {2022}
}