Automatic continuity of transversal distributions

TL;DR

This paper proves that all transversal distributions are inherently continuous, establishing a fundamental property in the theory of distributions and their applications.

Contribution

It introduces a general proof that transversal distributions are automatically continuous, a result not previously established.

Findings

All transversal distributions are continuous.

The proof simplifies understanding of distribution properties.

Implications for analysis and geometry.

Abstract

We prove that every transversal distribution is automatically continuous.