Discontinuity points of a function with a closed and connected graph
General Topology
2013-06-14 v1
Abstract
The main result of this paper states that for a function with a closed, connected and locally connected graph, where is a locally compact, second-countable metrisable space, the graph over discontinuity points remains locally connected.
Keywords
Cite
@article{arxiv.1306.3073,
title = {Discontinuity points of a function with a closed and connected graph},
author = {Michal Stanislaw Wojcik},
journal= {arXiv preprint arXiv:1306.3073},
year = {2013}
}