Complete topological classification of Baire spaces functions on ordinals

L. V. Genze, S. P. Gul'ko, T. E. Khmyleva

Published 2018-06-24Version 1

The paper considers the spaces $B_p[1, \alpha]$ of all Baire functions $x\colon [1,\alpha]\to \mathbb{R}$, defined on segments of ordinals $[1,\alpha]$ and endowed with the topology of pointwise convergence. A complete topological classification of these spaces is given