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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The relationship between fragmentable spaces and class $\mathcal {L}$ spaces
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by Jian Yu and Xian-Zhi Yuan PDF
Proc. Amer. Math. Soc. 124 (1996), 3357-3359 Request permission

Abstract:

In this note, we show that each fragmentable space introduced by Jayne and Rogers in 1985 is of class $\mathcal {L}$ which was introduced by Kenderov in 1984. Our example shows that a space which is of class $\mathcal {L}$ may not be a fragmentable space.
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Additional Information
  • Jian Yu
  • Affiliation: Institute of Applied Mathematics, Guizhou Institute of Technology, Guiyang, Guizhou, China 550003
  • Xian-Zhi Yuan
  • Affiliation: Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072, Australia
  • Address at time of publication: Department of Mathematics, Statistics & Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5
  • Email: xzy@axiom.maths.uq.oz.au, yuan@cs.dal.ca
  • Received by editor(s): March 14, 1995
  • Received by editor(s) in revised form: April 24, 1995
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 3357-3359
  • MSC (1991): Primary 47H10; Secondary 46C05
  • DOI: https://doi.org/10.1090/S0002-9939-96-03468-5
  • MathSciNet review: 1342049