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Dimension estimate preserving embeddings for compacta in metric spaces

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Abstract.

We generalize an embedding result for compacta with finite fractal dimension, which is due to B. R. Hunt and V. Yu. Kaloshin [3] for Banach spaces, to metric spaces and derive estimates for the fractal dimension of the embedded compact set.

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Authors and Affiliations

  1. Department of Mathematics, Institute for Analysis, Technical University of Dresden, 01062 Dresden, Germany, , , , , , DE

    T. Okon

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  1. T. Okon
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Eingegangen am 24. 3. 2000

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Okon, T. Dimension estimate preserving embeddings for compacta in metric spaces. Arch. Math. 78, 36–42 (2002). https://doi.org/10.1007/s00013-002-8214-4

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  • DOI: https://doi.org/10.1007/s00013-002-8214-4

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