A Complete Topological Classification of the Space of Baire Functions on Ordinals

Сибирский математический журнал

L. V. Genze¹ 

[1] Tomsk State University

关键词: Baire 1-function;    space of Baire functions;    topology of pointwise convergence;    homeomorphism;    ordinal segment;    order topology;    real compactness;   

DOI  :  10.1134/S0037446618060046

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

Considering the spaces Bp[1, α] of all Baire functions x: [1, α] → ℝ on the ordinal segments [1, α] that are endowed with the topology of pointwise convergence, we give a complete topological classification of these spaces.

【 授权许可】

CC BY