Rosenthal compacta and NIP formulas
Fundamenta Mathematicae (2015)
- Volume: 231, Issue: 1, page 81-92
- ISSN: 0016-2736
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topPierre Simon. "Rosenthal compacta and NIP formulas." Fundamenta Mathematicae 231.1 (2015): 81-92. <http://eudml.org/doc/283156>.
@article{PierreSimon2015,
abstract = {We apply the work of Bourgain, Fremlin and Talagrand on compact subsets of the first Baire class to show new results about ϕ-types for ϕ NIP. In particular, we show that if M is a countable model, then an M-invariant ϕ-type is Borel-definable. Also, the space of M-invariant ϕ-types is a Rosenthal compactum, which implies a number of topological tameness properties.},
author = {Pierre Simon},
journal = {Fundamenta Mathematicae},
keywords = {Rosenthal compactum; NIP theories},
language = {eng},
number = {1},
pages = {81-92},
title = {Rosenthal compacta and NIP formulas},
url = {http://eudml.org/doc/283156},
volume = {231},
year = {2015},
}
TY - JOUR
AU - Pierre Simon
TI - Rosenthal compacta and NIP formulas
JO - Fundamenta Mathematicae
PY - 2015
VL - 231
IS - 1
SP - 81
EP - 92
AB - We apply the work of Bourgain, Fremlin and Talagrand on compact subsets of the first Baire class to show new results about ϕ-types for ϕ NIP. In particular, we show that if M is a countable model, then an M-invariant ϕ-type is Borel-definable. Also, the space of M-invariant ϕ-types is a Rosenthal compactum, which implies a number of topological tameness properties.
LA - eng
KW - Rosenthal compactum; NIP theories
UR - http://eudml.org/doc/283156
ER -
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