Dimension estimate preserving embeddings for compacta in metric spaces

Archiv der Mathematik

Volumn 78, Issue 1, 2002, Pages 36-42

  Okon, T ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036002523     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-002-8214-4     Document Type: Article

References (7)

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3. B.R. Hunt and V.Yu. Kaloshin, Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces. Nonlinearity 12, 1263-1275 (1999).
4. B.R. Hunt, T. Sauer and J.A. James, Prevalence, A translation-invariant "almost every" on infinite-dimensional spaces. Bull. Amer. Math. Soc. 27(2), 217-238 (1992).
5. R. Mañé, On the dimension of the compact invariant sets of certain non-linear maps. In: Dynamical Systems and Turbulence LNM 898. Berlin-Heidelberg-New York 1981.
6. T. Sauer, J.A. Yorke and M. Casdagli, Embedology. J. Statist. Phys. 65(3/4), 579-616 (1991).
7. H. Whitney, Differentiable manifolds. Ann. Math. 37(3), 645-680 (1936).