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On the descriptive complexity of homogeneous continua

General Topology 2022-04-15 v1

Abstract

It is shown that the family of all homogeneous continua in the hyperspace of all subcontinua of any finite-dimensional Euclidean cube or the Hilbert cube is an analytic subspace of the hyperspace which contains a topological copy of the linear space c0={(xk)Rω:limxk=0}c_0=\{(x_k)\in \mathbb R^\omega: \lim x_k=0\} as a closed subset.

Keywords

Cite

@article{arxiv.2103.01202,
  title  = {On the descriptive complexity of homogeneous continua},
  author = {Paweł Krupski},
  journal= {arXiv preprint arXiv:2103.01202},
  year   = {2022}
}
R2 v1 2026-06-23T23:37:46.857Z