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 -compact locally convex metric linear space containing a topological copy of the Hilbert cube is homeomorphic to the linear span of the Hilbert cube , in the Hilbert space .

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1982-0660623-0

Keywords:
-compact linear span,
linear space,
topological embedding

Article copyright:
© Copyright 1982
American Mathematical Society