Rosenthal compacta and NIP formulas

Rosenthal compacta and NIP formulas
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Rosenthal Compacta 和 NIP 公式

DOI:
10.4064/fm231-1-5
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发表时间:
2014
期刊:
arXiv: Logic
影响因子:
--
通讯作者:
Pierre Simon
Pierre Simon
中科院分区:
--
文献类型:
--
作者:
Pierre Simon

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We apply the work of Bourgain, Fremlin and Talagrand on compact subsets of the first Baire class to show new results about phi-types for phi NIP. In particular, we show that if M is a countable model, then an M-invariant phi-type is Borel definable. Also the space of M-invariant phi-types is a Rosenthal compactum, which implies a number of topological tameness properties.
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发表时间: 2015-02
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影响因子: --
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发表时间: 2011
影响因子: 2.6
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