# Continuity of Subharmonic Functions

## TL;DR

This paper proves that the set of discontinuities of a subharmonic function is polar, establishing a key property of these functions in potential theory.

## Contribution

It demonstrates that the discontinuities of subharmonic functions are contained in a polar set, a significant result in potential theory.

## Key findings

- Discontinuities form a polar set
- Subharmonic functions are continuous outside a polar set
- The result advances understanding of subharmonic function regularity

## Abstract

We prove that the set of points where a subharmonic function fails to be continuous is polar.