Universality and Non-Embeddability Into Banach Spaces of Subspaces of the Real Line With the Gromov-Hausdorff Distance
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Date
2025
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Springer-Verlag Italia Srl
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Green Open Access
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Abstract
The paper aims to prove two universality results which can be used to simplify some of the available proofs of non-embeddability results for the Gromov-Hausdorff metrics.
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Keywords
Banach Space, Bilipschitz Embedding, Coarse Embedding, Gromov-Hausdorff Distance, Isometric Embedding, Gromov-Hausdorff distance, Banach space, Lipschitz and coarse geometry of metric spaces, coarse embedding, Bilipschitz embedding, Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science, isometric embedding
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Source
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Volume
119
Issue
3
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