On the Hausdorff Dimension of Topological Subspaces
Tomasz Szarek ; Maciej Ślęczka
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006), p. 201-205 / Harvested from The Polish Digital Mathematics Library

It is shown that every Polish space X with dimTXd admits a compact subspace Y such that dimHYd where dimT and dimH denote the topological and Hausdorff dimensions, respectively.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280728
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     author = {Tomasz Szarek and Maciej \'Sl\k eczka},
     title = {On the Hausdorff Dimension of Topological Subspaces},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {54},
     year = {2006},
     pages = {201-205},
     zbl = {1108.54020},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-3-2}
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Tomasz Szarek; Maciej Ślęczka. On the Hausdorff Dimension of Topological Subspaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) pp. 201-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-3-2/