On weakly infinite-dimensional subspuees
Borst, P.
Fundamenta Mathematicae, Tome 141 (1992), p. 225-235 / Harvested from The Polish Digital Mathematics Library
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We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and dimY=ω0 and dimX=ω0+1. Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:211942 
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Borst, P. On weakly infinite-dimensional subspuees. Fundamenta Mathematicae, Tome 141 (1992) pp. 225-235. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv140i3p225bwm/

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