Non-surjective coarse embeddings of continuous functions spaces

Igor A. Vestfrid

doi:10.36045/j.bbms.211006

Abstract

We consider coarse embeddings of real continuous functions spaces. We show that such an embedding can be well approximated by an affine surjective isometry under a certain condition of almost surjectivity.

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Igor A. Vestfrid. "Non-surjective coarse embeddings of continuous functions spaces." Bull. Belg. Math. Soc. Simon Stevin 29 (4) 443 - 451, december 2022. https://doi.org/10.36045/j.bbms.211006

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Published: december 2022

First available in Project Euclid: 24 March 2023

Digital Object Identifier: 10.36045/j.bbms.211006

Subjects:

Primary: 46B04 , ‎46E15

Secondary: 41A65

Keywords: almost surjectivity , attached prime ideal , Coarse isometry , continuous functions spaces

Abstract

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