A few remarks about the variety of irreducible plane curves of given degree and genus
Enrico Arbarello, Maurizio Cornalba (1983)
Annales scientifiques de l'École Normale Supérieure
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Annales scientifiques de l'École Normale Supérieure
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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 and . Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.