Metrisability of Manifolds in Terms of Function Spaces
by
David Gauld
The University of Auckland
Coauthors: Frederic Mynard

I have a collection of nearly one hundred topological conditions which are not equivalent to metrisability in a general topological space but are equivalent for a topological manifold. This year Frederic Mynard, from Burgundy but now in Mississippi, visited Auckland and we added to the collection a number of conditions which involve spaces of continuous real-valued functions on the manifold.

Reference: David Gauld and Frederic Mynard, "Metrisability of Manifolds in Terms of Function Spaces," Report Series no.467, Department of Mathematics, University of Auckland, July 2001,

http://www.math.auckland.ac.nz/deptdb/dept_report_view.php?id=467

Date received: October 14, 2001