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Acta Mathematica HungaricaVolume 167, Issue 1, June 2022, Pages 355-363

A combinatorial property of rho-functions(Article)

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  • aDepartment of Mathematics, National University of Singapore, Singapore, 119076, Singapore
  • bDepartment of Mathematics, University of Toronto, Toronto, M5S2E4, Canada
  • cInstitut de Mathématique de Jussieu, UMR 7586, Case 247, Paris Cedex, 75252, France
  • dMatematički Institut, SANU, Belgrade, Serbia

Abstract

We show that if T is any Hausdorff topology on ω1, then any subset of ω1 which is homeomorphic to the rationals under T can be refined to a homeomorphic copy of the rationals on which ρ¯ is shift-increasing. © 2022, Akadémiai Kiadó, Budapest, Hungary.

Author keywords

partition calculusRamsey degreerationalsstrong coloring

Funding details

Funding sponsor Funding number Acronym
Natural Sciences and Engineering Research Council of Canada
See opportunities by NSERC		NSERC
Centre National de la Recherche ScientifiqueIMJ-PRGUMR7586CNRS

  • 1

    Second author is partially supported by grants from NSERC (455916) and CNRS (IMJ-PRGUMR7586).

  • ISSN: 02365294
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1007/s10474-022-01237-y
  • Document Type: Article
  • Publisher: Springer Science and Business Media B.V.

  Raghavan, D.; Department of Mathematics, National University of Singapore, Singapore, Singapore;
© Copyright 2022 Elsevier B.V., All rights reserved.

Cited by 1 document

Raghavan, D. , Todorcevic, S.
GALVIN’S PROBLEM IN HIGHER DIMENSIONS
(2023) Proceedings of the American Mathematical Society
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