A metric linear space is an open cone

George Michael

doi:10.1215/21562261-1728893

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Home > Journals > Kyoto J. Math. > Volume 52 > Issue 4 > Article

Winter 2012 A metric linear space is an open cone

George Michael

Kyoto J. Math. 52(4): 833-838 (Winter 2012). DOI: 10.1215/21562261-1728893

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Abstract

In this paper we show that a metrizable topological vector space over $\mathbf{R}$ is topologically an open cone. This generalizes the partial results obtained by Henderson.