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math.FA2023
Finite determination for embeddings into Banach spaces: new proof, low distortion
Florin Catrina, Mikhail I. Ostrovskii
The main goal of this paper is to improve the result of Ostrovskii (2012) on the finite determination of bilipschitz and coarse embeddability of locally finite metric spaces into B…
math.FA2023
Cycle spaces: invariant projections and applications to transportation cost
Stephen J. Dilworth, Denka Kutzarova, Mikhail I. Ostrovskii
The paper starts with discussion of applications of cycle spaces to transportation cost. After a short survey of the known results on cycle spaces, we turn to the study of minimal…