Discontinuity points of a function with a closed and connected graph

Michal Stanislaw Wojcik

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arXiv · 1306.3073

Discontinuity points of a function with a closed and connected graph

Michal Stanislaw Wojcik

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Abstract

The main result of this paper states that for a function $f:\R^2\to Y$ with a closed, connected and locally connected graph, where $Y$ is a locally compact, second-countable metrisable space, the graph over discontinuity points remains locally connected.

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Michal Stanislaw Wojcik. 2013-06-13. Discontinuity points of a function with a closed and connected graph. https://arxiv.org/abs/1306.3073

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