Note on Borel mappings and dimension

作者:Pol Roman*
来源:Topology and Its Applications, 2015, 195: 275-283.
DOI:10.1016/j.topol.2015.09.034

摘要

We show in particular that if a compactum X is an image of the Hilbert cube under a Borel isomorphism preserving in both directions sets that can be covered by countably many finite-dimensional compacta, then X contains compacta of arbitrarily large finite dimension. The results of this note are related to a question asked by Zapletal in [16].

  • 出版日期2015-11