| We 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. |
Keywords
manifold, metrisability, function space, Polish, countable tightness
Math Review Classification
Primary 54E35, 54C35, 57N15
; Secondary 46E10
Last Updated
4 July, 2001
Length
13 pages
Availability
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