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1996 | 149 | 3 | 211-237
Tytuł artykułu

Losing Hausdorff dimension while generating pseudogroups

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Considering different finite sets of maps generating a pseudogroup G of locally Lipschitz homeomorphisms between open subsets of a compact metric space X we arrive at a notion of a Hausdorff dimension $dim_H G$ of G. Since $dim_H G ≤ dim_H X$, the dimension loss $dl_HG = dim_HX - dim_H G$ can be considered as a "topological price" one has to pay to generate G. We collect some properties of $dim_H$ and $dl_H$ (for example, both of them are invariant under Lipschitz isomorphisms of pseudogroups) and we either estimate or calculate $dim_HG$ for pseudogroups arising from classical dynamical systems, group actions, foliations, etc.
Słowa kluczowe
Kategorie tematyczne
Rocznik
Tom
149
Numer
3
Strony
211-237
Opis fizyczny
Daty
wydano
1996
otrzymano
1995-02-28
poprawiono
1995-10-16
Twórcy
Bibliografia
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Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-fmv149i3p211bwm
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