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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Sigma-compact locally convex metric linear spaces universal for compacta are homeomorphic

Authors: T. Dobrowolski and J. Mogilski
Journal: Proc. Amer. Math. Soc. 85 (1982), 653-658
MSC: Primary 57N17; Secondary 46A15, 57N20
MathSciNet review: 660623
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Abstract: It is proved that every $ \sigma $-compact locally convex metric linear space containing a topological copy of the Hilbert cube $ Q$ is homeomorphic to $ \Sigma $ the linear span of the Hilbert cube $ Q$, in the Hilbert space $ {l_2}$.

References [Enhancements On Off] (What's this?)

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Additional Information

PII: S 0002-9939(1982)0660623-0
Keywords: $ \sigma $-compact linear span, linear space, topological embedding
Article copyright: © Copyright 1982 American Mathematical Society