English

The pluri-fine topology is locally connected

Complex Variables 2007-05-23 v1

Abstract

We prove that the pluri-fine topology on any open set Ω\Omega in Cn\mathbb{C}^{n} is locally connected. This answers a question by Fuglede in [4]. See also Bedford [6].

Keywords

Cite

@article{arxiv.math/0512241,
  title  = {The pluri-fine topology is locally connected},
  author = {Said El Marzguioui and Jan Wiegerinck},
  journal= {arXiv preprint arXiv:math/0512241},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-07-22T17:28:32.081Z