COMPACT SPACES OF THE FIRST BAIRE CLASS THAT HAVE OPEN FINITE DEGREE

DOI10.1017/S1474748016000335zbMath1405.54013arXiv1512.08363OpenAlexW2963736853MaRDI QIDQ4691769

Stevo Todorčević, Antonio Avilés López

Publication date: 24 October 2018

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08363

zbMATH Keywords

Cantor setPolish spaceAlexandroff duplicatesplit intervalfirst Baire class function spaceRosenthal compact space

Mathematics Subject Classification ID

Trees (05C05) Compactness (54D30) Descriptive set theory (03E15) Sequential spaces (54D55) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Ramsey theory (05D10) Classification of real functions; Baire classification of sets and functions (26A21)

Cites Work

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• Compact subsets of the first Baire class
• An introduction to multiple gaps
• A classification of separable Rosenthal compacta and its applications
• Note on pointwise convergence of sequences of analytic sets

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