# Local-global properties of positive primitive formulas in the theory of spaces of orderings

```@article{Marshall2006LocalglobalPO,
title={Local-global properties of positive primitive formulas in the theory of spaces of orderings},
author={M. Marshall},
journal={J. Symb. Log.},
year={2006},
volume={71},
pages={1097-1107}
}```
The paper deals with pp formulas in the language of reduced special groups, and the question of when the validity of a pp formula on each finite subspace of a space of orderings implies its global validity [18]. A large new class of pp formulas is introduced for which this is always the case, assuming the space of orderings in question has finite stability index. The paper also considers pp formulas of the special type b G YY?=\ D(\tat). Formulas of this type with n = 3 are the simplest sort of… CONTINUE READING

#### Citations

##### Publications citing this paper.
SHOWING 1-5 OF 5 CITATIONS

## Model-theoretic applications of the profinite hull functor of special groups

VIEW 4 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

## Axiomatization of local-global principles for pp-formulas in spaces of orderings

• Arch. Math. Log.
• 2005
VIEW 1 EXCERPT

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 21 REFERENCES

## Open Questions in The Theory of Spaces of Orderings

• J. Symb. Log.
• 2002
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

## Constructible sets in real geometry

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

VIEW 4 EXCERPTS

VIEW 4 EXCERPTS

VIEW 1 EXCERPT

VIEW 2 EXCERPTS

VIEW 1 EXCERPT

VIEW 1 EXCERPT

## Orderings, algebras and projective planes

F. Kalhoff
• Expositiones Math
• 1995
VIEW 1 EXCERPT

VIEW 1 EXCERPT