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Unavoidable sigma-porous sets
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Maleva, Olga (2007) Unavoidable sigma-porous sets. Journal of the London Mathematical Society, Vol.76 (Part 2). pp. 467-478. doi:10.1112/jlms/jdm059 ISSN 0024-6107.
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Official URL: http://dx.doi.org/10.1112/jlms/jdm059
Abstract
We prove that every separable metric space which admits an l(1)-tree as a Lipschitz quotient has a or-porous subset which contains every Lipschitz curve up to a set of one-dimensional Hausdorff measure zero. This applies to any Banach space containing l(1). We also obtain an infinite-dimensional counterexample to the Fubini theorem for the sigma-ideal of sigma-porous sets.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of the London Mathematical Society | ||||
Publisher: | Oxford University Press | ||||
ISSN: | 0024-6107 | ||||
Official Date: | October 2007 | ||||
Dates: |
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Volume: | Vol.76 | ||||
Number: | Part 2 | ||||
Number of Pages: | 12 | ||||
Page Range: | pp. 467-478 | ||||
DOI: | 10.1112/jlms/jdm059 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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