Metrisability of Manifolds in Terms of Function Spaces

• Autores: David Gauld, Frédéric Mynard
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 1, 2005, págs. 199-214
• Idioma: inglés
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• Resumen

  • Both internal and external new criteria of metrisability of a topological manifold are obtained.

    The external ones involve topological properties of the space of real-valued continuous functions over the manifold, endowed either with the topology of pointwise convergence or with the compact-open topology.