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An embedding theorem for Lasnev spaces

✍ Scribed by S.A. Stricklen Jr.

Publisher
Elsevier Science
Year
1976
Weight
915 KB
Volume
6
Category
Article
ISSN
0016-660X

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✦ Synopsis

A Lasnev spas is a space which is the image of a metric space under a cicmed, cmtinuous function, We show that every Lamev space car11 be densely embedded lirn a La:mev space which has :ti dense, metrizabk, conqlete, Glj s:lbspace A. With this, we extend a theorem of K.R. Van Doren to say that f 3r every Lasn~sv space X there is a Lasnev space Y each open set of which :has subspace hc lmeomorphic to X;

By considering additio,& condi.tions Ion A, we find a necessary and sufficient conditional that an arbitrary sptlce be a l_,a.snev space,

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