𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Projective uniformization revisited

✍ Scribed by Kai Hauser; Ralf-Dieter Schindler

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
291 KB
Volume
103
Category
Article
ISSN
0168-0072

No coin nor oath required. For personal study only.

✦ Synopsis

We give an optimal lower bound in terms of large cardinal axioms for the logical strength of projective uniformization (i.e., the assumption that for any projective set in the real plane there exists a projectively deΓΏnable function selecting an element from each section of the given set) in conjuction with other regularity properties of projective sets of real numbers, namely Lebesgue measurability and its dual in the sense of category (the property of Baire). Our proof uses a projective computation of the real numbers which code inital segments of a core model and answers a question in Hauser (1995).

πŸ“œ SIMILAR VOLUMES

The abelian projection revisited
The abelian projection revisited
✍ A Di Giacomo; G Paffuti πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 257 KB

## Abelian projection is reanalysed in the frame of the SU(N) Higgs model. The extension to QCD is discussed. It is shown that dual superconductivity of the vacuum is an intrinsic property independent of the choice of the abelian projection.