English

Open uniform (G) at non-isolated points and maps

General Topology 2011-06-22 v1

Abstract

In this paper, we mainly introduce the notion of an open uniform (G) at non-isolated points, and show that a space XX has an open uniform (G) at non-isolated points if and only if XX is the open boundary-compact image of metric spaces. Moreover, we also discuss the inverse image of spaces with an open uniform (G) at non-isolated points. Two questions about open uniform (G) at non-isolated points are posed.

Cite

@article{arxiv.1106.4136,
  title  = {Open uniform (G) at non-isolated points and maps},
  author = {Fucai Lin and Shou Lin},
  journal= {arXiv preprint arXiv:1106.4136},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T18:25:21.297Z