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Communications in Mathematics

Editor-in-Chief: Rossi, Olga

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Mathematical Citation Quotient (MCQ) 2016: 0.28

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2336-1298
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A note on the pp conjecture for sheaves of spaces of orderings

Paweł Gładki
  • Institute of Mathematics, University of Silesia, ul. Bankowa 14, Katowice, Poland, 40-007
  • Department of Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, Kraków, Poland, 30-059
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Published Online: 2016-08-20 | DOI: https://doi.org/10.1515/cm-2016-0001

Abstract

In this note we provide a direct and simple proof of a result previously obtained by Astier stating that the class of spaces of orderings for which the pp conjecture holds true is closed under sheaves over Boolean spaces.

Keywords: spaces of orderings; pp conjecture

References

  • [1] V. Astier: On some sheaves of reduced special groups. Arch. for Math. Logic 46 (5) (2007) 481{488.CrossrefGoogle Scholar

  • [2] P. Gładki, M. Marshall: The pp conjecture for spaces of orderings of rational conics. J.Web of ScienceGoogle Scholar

  • Algebra Appl. 6 (2) (2007) 245{257.Google Scholar

  • [3] P. Gładki, M. Marshall: Quotients of index two and general quotients in a space of orderings. Fund. Math. 229 (2015) 255{275.Google Scholar

  • [4] M. Marshall: Abstract Witt rings. Queen's University, Kingston, Ontario (1980).Google Scholar

  • [5] M. Marshall: Spaces of orderings and abstract real spectra. Lecture Notes in Mathematics 1636 (1996).Google Scholar

  • [6] M. Marshall: Open questions in the theory of spaces of orderings. J. Symbolic Logic 67 (1) (2002) 341{352.Google Scholar

About the article

Received: 2015-08-24

Accepted: 2016-05-02

Published Online: 2016-08-20

Published in Print: 2016-08-01


Citation Information: Communications in Mathematics, ISSN (Online) 2336-1298, DOI: https://doi.org/10.1515/cm-2016-0001.

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© 2016. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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