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

Paweł Gładki

Communications in Mathematics (2016)

  • Volume: 24, Issue: 1, page 1-5
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Gładki, Paweł. "A note on the pp conjecture for sheaves of spaces of orderings." Communications in Mathematics 24.1 (2016): 1-5. <http://eudml.org/doc/286715>.

@article{Gładki2016,
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.},
author = {Gładki, Paweł},
journal = {Communications in Mathematics},
keywords = {spaces of orderings; pp conjecture; space of orderings; Lam's open problem},
language = {eng},
number = {1},
pages = {1-5},
publisher = {University of Ostrava},
title = {A note on the pp conjecture for sheaves of spaces of orderings},
url = {http://eudml.org/doc/286715},
volume = {24},
year = {2016},
}

TY - JOUR
AU - Gładki, Paweł
TI - A note on the pp conjecture for sheaves of spaces of orderings
JO - Communications in Mathematics
PY - 2016
PB - University of Ostrava
VL - 24
IS - 1
SP - 1
EP - 5
AB - 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.
LA - eng
KW - spaces of orderings; pp conjecture; space of orderings; Lam's open problem
UR - http://eudml.org/doc/286715
ER -

References

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  1. Astier, V., 10.1007/s00153-007-0051-5, Arch. for Math. Logic, 46, 5, 2007, 481-488, (2007) MR2321589DOI10.1007/s00153-007-0051-5
  2. Gładki, P., Marshall, M., 10.1142/S0219498807002168, J. Algebra Appl., 6, 2, 2007, 245-257, (2007) Zbl1113.11024MR2316419DOI10.1142/S0219498807002168
  3. Gładki, P., Marshall, M., 10.4064/fm229-3-3, Fund. Math., 229, 2015, 255-275, (2015) MR3320478DOI10.4064/fm229-3-3
  4. Marshall, M., Abstract Witt rings, Queen's Papers in Pure and Applied Math., 1980, Queen's University, Kingston, Ontario, (1980) Zbl0451.10013MR0674651
  5. Marshall, M., Spaces of orderings and abstract real spectra, Lecture Notes in Mathematics, 1636, 1996, Springer, (1996) Zbl0866.12001MR1438785
  6. Marshall, M., 10.2178/jsl/1190150048, J. Symbolic Logic, 67, 1, 2002, 341-352, Cambridge Univ Press, (2002) Zbl1018.11017MR1889555DOI10.2178/jsl/1190150048

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