Metric Spaces in Synthetic Topology
- 22 May 2007
- Constructive math, Talks
With Davorin Lešnik.
Abstract: We investigate the relationship between constructive theory of metric spaces and synthetic topology. Connections between these are established by requiring a relationship to exist between the intrinsic and the metric topology of a space. We propose a non-classical axiom which has several desirable consequences, e.g., that all maps between separable metric spaces are continuous in the sense of metrics, and that, up to topological equivalence, a set can be equipped with at most one metric which makes it complete and separable.
Presented at: 3rd Workshop on Formal Topology
Download slides: 3wft.pdf
How to comment on this blog:
At present comments are disabled because the relevant script died.
If you comment on this post on Mastodon and
mention
andrejbauer@mathstodon.xyz, I will
gladly respond.
You are also welcome to contact me directly.