| Title:
|
A note on the pp conjecture for sheaves of spaces of orderings (English) |
| Author:
|
Gładki, Paweł |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
24 |
| Issue:
|
1 |
| Year:
|
2016 |
| Pages:
|
1-5 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
spaces of orderings |
| Keyword:
|
pp conjecture |
| MSC:
|
11E10 |
| MSC:
|
12D15 |
| idZBL:
|
Zbl 06670227 |
| idMR:
|
MR3546802 |
| . |
| Date available:
|
2016-08-26T11:14:28Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145799 |
| . |
| Reference:
|
[1] Astier, V.: On some sheaves of reduced special groups.Arch. for Math. Logic, 46, 5, 2007, 481-488, MR 2321589, 10.1007/s00153-007-0051-5 |
| Reference:
|
[2] Gładki, P., Marshall, M.: The pp conjecture for spaces of orderings of rational conics.J. Algebra Appl., 6, 2, 2007, 245-257, Zbl 1113.11024, MR 2316419, 10.1142/S0219498807002168 |
| Reference:
|
[3] Gładki, P., Marshall, M.: Quotients of index two and general quotients in a space of orderings.Fund. Math., 229, 2015, 255-275, MR 3320478, 10.4064/fm229-3-3 |
| Reference:
|
[4] Marshall, M.: Abstract Witt rings.Queen's Papers in Pure and Applied Math., 1980, Queen's University, Kingston, Ontario, Zbl 0451.10013, MR 0674651 |
| Reference:
|
[5] Marshall, M.: Spaces of orderings and abstract real spectra.Lecture Notes in Mathematics, 1636, 1996, Springer, Zbl 0866.12001, MR 1438785 |
| Reference:
|
[6] Marshall, M.: Open questions in the theory of spaces of orderings.J. Symbolic Logic, 67, 1, 2002, 341-352, Cambridge Univ Press, Zbl 1018.11017, MR 1889555, 10.2178/jsl/1190150048 |
| . |
