About: Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps.

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About: Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps. Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We prove that each analytic set contains a universally null set of the same Hausdorff dimension and that each metric space contains a universally null set of Hausdorff dimension no less than the topological dimension of the space. Similar results also hold for universally meager sets. An essential part of the construction involves an analysis of Lipschitz-like mappings of separable metric spaces onto Cantor cubes and self-similar sets. We prove that each analytic set contains a universally null set of the same Hausdorff dimension and that each metric space contains a universally null set of Hausdorff dimension no less than the topological dimension of the space. Similar results also hold for universally meager sets. An essential part of the construction involves an analysis of Lipschitz-like mappings of separable metric spaces onto Cantor cubes and self-similar sets. (en)
Title	Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps. Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps. (en)
skos:prefLabel	Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps. Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps. (en)
skos:notation	RIV/68407700:21110/12:00203412!RIV13-MSM-21110___
http://linked.open...avai/predkladatel	Fakulta stavební
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6840770006)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Zindulka, Ondřej
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta stavební
http://linked.open...dnocenehoVysledku	176004
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/12:00203412
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Universally null; universally meager; Hausdorff dimension; upperHausdorff dimension; Cantor cube, nearly Lipschitz mapping, monotone metric space (en)
http://linked.open.../riv/klicoveSlovo	Hausdorff dimension monotone metric space Cantor cube Universally null nearly Lipschitz mapping universally meager upperHausdorff dimension
http://linked.open...odStatuVydavatele	PL - Polská republika
http://linked.open...ontrolniKodProRIV	[E4D0D07F453F]
http://linked.open...i/riv/nazevZdroje	Fundamenta Mathematicae
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	218
http://linked.open...iv/tvurceVysledku	Zindulka, Ondřej
http://linked.open...ain/vavai/riv/wos	000310111200001
http://linked.open...n/vavai/riv/zamer	Management of the Sustainable Development of the Life Cycle of Buildings, Building Firms and Land. (Proposal for continuation of RP MSM 210000006
issn	0016-2736
number of pages	25 (xsd:int)
http://bibframe.org/vocab/doi	10.4064/fm218-2-1
http://localhost/t...ganizacniJednotka	21110
is http://linked.open...avai/riv/vysledek of	Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps.

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