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Universal Spaces

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Pure Metric Geometry

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Abstract

The Urysohn space is the main hero of this lecture. It shares some fundamental properties with classical spaces (spheres, Euclidean, and Lobachevsky spaces) but also has many counterintuitive properties.

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Notes

  1. 1.

    That is, linear combination with nonnegative coefficients.

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Petrunin, A. (2023). Universal Spaces. In: Pure Metric Geometry. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-031-39162-0_2

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