Complete topological classification of Baire spaces functions on ordinals

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

Complete topological classification of Baire spaces functions on ordinals

General Topology 2018-06-26 v1 Functional Analysis

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

Abstract

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

Keywords

baire functions pointwise convergence topology ordinals topological classification function spaces

Cite

@article{arxiv.1806.09088,
  title  = {Complete topological classification of Baire spaces functions on ordinals},
  author = {L. V. Genze and S. P. Gul'ko and T. E. Khmyleva},
  journal= {arXiv preprint arXiv:1806.09088},
  year   = {2018}
}

Comments

15 pages, in Russian, accepted by Siberian Mathematical Journal

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