Gauld, DavidMynard, Frederic2009-08-282009-08-282001-07Department of Mathematics - Research Reports-467 (2001)1173-0889http://hdl.handle.net/2292/5161We present conditions on the space of continuous real-valued functions on a topological manifold, either with the compact-open or pointwise convergence topology, which are equivalent to metrisability of the manifold. In addition we display some covering and related properties which are also equivalent to metrisability for a manifold.https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htmTechnical ReportFields of Research::230000 Mathematical Sciences::230100 MathematicsThe author(s)