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

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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.

References

  • [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

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