Geodesic
On weakly infinite-dimensional subspaces
Piet Borst1
1 Department of Mathematics Free University De Boelelaan 1081 1081 HV Amsterdam, The Netherlands
Fundamenta Mathematicae, Tome 140 (1991) no. 3, pp. 225-235

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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 $dim Y = ω_0$ and $dim X = ω_0 + 1$. Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.
DOI : 10.4064/fm-140-3-225-235
Keywords: weakly infinite-dimensional, transfinite dimension

Piet Borst 1

1 Department of Mathematics Free University De Boelelaan 1081 1081 HV Amsterdam, The Netherlands 
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Piet  Borst. On weakly infinite-dimensional subspaces. Fundamenta Mathematicae, Tome 140 (1991) no. 3, pp. 225-235. doi: 10.4064/fm-140-3-225-235

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