Majorizing Measures and Ultrametric Spaces
Witold Bednorz
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012), p. 91-100 / Harvested from The Polish Digital Mathematics Library

Talagrand's proof of the sufficiency of existence of a majorizing measure for the sample boundedness of processes with bounded increments used a contraction from a certain ultrametric space. We give a short proof of existence of such an ultrametric using admissible sequences of nets.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:281334
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     author = {Witold Bednorz},
     title = {Majorizing Measures and Ultrametric Spaces},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {60},
     year = {2012},
     pages = {91-100},
     zbl = {1262.60034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-1-7}
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Witold Bednorz. Majorizing Measures and Ultrametric Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 91-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-1-7/