A note on the pp conjecture for sheaves of spaces of orderings

Open access


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.


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

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

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

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

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

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

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

Journal Information

Mathematical Citation Quotient (MCQ) 2016: 0.28

Target Group

researchers in the fields of: algebraic structures, calculus of variations, combinatorics, control and optimization, cryptography, differential equations, differential geometry, fuzzy logic and fuzzy set theory, global analysis, mathematical physics and number theory


All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 21 21 17
PDF Downloads 4 4 3