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arXiv · 1802.04352

Homogeneity and rigidity in Erd\H{o}s spaces

Klaas Pieter Hart·Jan van Mill
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Abstract

We investigate the homogeneity of topological subspaces of separable Hilbert space, akin to the spaces with all points rational or all points irrational, so-called Erd\H{o}s spaces. We provide a non-homogeneous example, that is based on one set of coordinates using, and a rigid example, based on a sequence of coordinate sets.

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BibTeXRIS

Klaas Pieter Hart, Jan van Mill. 2018-02-12. Homogeneity and rigidity in Erd\H{o}s spaces. https://doi.org/10.14712/1213-7243.2015.265

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