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On Fragmentable Compact Lines

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Abstract

We prove that if a compact line is fragmentable, then it is a Radon–Nikodým compact space.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100, Murcia, Spain

    Antonio Avilés & Gonzalo Martínez-Cervantes

  2. Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland

    Grzegorz Plebanek

  3. Department of Mathematics, University of Toronto, Toronto, M5S 3G3, Canada

    Stevo Todorcevic

  4. Institut de Mathématiques de Jussieu, CNRS UMR 7586, Case 247, 4 place Jussieu, 75252, Paris Cedex, France

    Stevo Todorcevic

Authors
  1. Antonio Avilés
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  2. Gonzalo Martínez-Cervantes
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  3. Grzegorz Plebanek
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  4. Stevo Todorcevic
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Correspondence to Antonio Avilés.

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Antonio Avilés and Gonzalo Martínez-Cervantes are supported by projects MTM2014-54182-P and MTM2017-86182-P (Secretaría de Estado de Investigación, Desarrollo e Innovación, MINECO, AEI/FEDER, UE) and by project 19275/PI/14 (Fundación Séneca). Grzegorz Plebanek is supported by the Grant 2018/29/B/ST1/00223 from National Science Centre, Poland. Stevo Todorcevic is partially supported by Grants from NSERC (455916) and CNRS (IMJ-PRG UMR7586).

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Avilés, A., Martínez-Cervantes, G., Plebanek, G. et al. On Fragmentable Compact Lines. Mediterr. J. Math. 16, 65 (2019). https://doi.org/10.1007/s00009-019-1345-7

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  • DOI: https://doi.org/10.1007/s00009-019-1345-7

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