# Continuity Begets Continuity (Frauenwörth slides)

With Alex Simpson.

Abstract: We present a constructive meta-theorem about sequential continuity which allows us to conclude from a constructive proof of existence of a function between complete metric spaces satisfying a given system of (functional) equations that there also exists a sequentially continuous function satisfying the system.

Presented at: Trends in Constructive mathematics, Frauenwörth am Chimsee, Germany, June 2006.

Write your comment using Markdown. Use $⋯$ for inline and $$⋯$$ for display LaTeX formulas, and <pre>⋯</pre> for display code. Your E-mail address is only used to compute your Gravatar and is not stored anywhere. Comments are moderated through pull requests.