On weaker notions of nonlinear embeddings between Banach spaces |
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Authors: | B. M. Braga |
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Affiliation: | Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, 851 S. Morgan St., Chicago, IL 60607-7045, USA |
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Abstract: | In this paper, we study nonlinear embeddings between Banach spaces. More specifically, the goal of this paper is to study weaker versions of coarse and uniform embeddability, and to provide suggestive evidences that those weaker embeddings may be stronger than one would think. We do such by proving that many known results regarding coarse and uniform embeddability remain valid for those weaker notions of embeddability. |
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Keywords: | 46B80 Nonlinear geometry of Banach spaces Coarse embeddings Uniform embeddings |
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