On universality of countable powers of absolute retracts

  • T. O. Banakh
  • Т. Radyl

Abstract

We construct an absolute retract X of arbitrarily high Borel complexity such that the countable power X ω is not universal for the Borelian class A 1 of sigma-compact spaces, and the product X ω x ∑, where ∑ is the radial interior of the Hilbert cube, is not universal for the Borelian class A 2 of absolute G δσ-spaces.
Published
25.04.1996
How to Cite
BanakhT. O., and RadylТ. “On Universality of Countable Powers of Absolute Retracts”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 4, Apr. 1996, pp. 540-2, https://umj.imath.kiev.ua/index.php/umj/article/view/5317.
Section
Short communications