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The Space of Strong Types and an Open Map Theorem

The Space of Strong Types and an Open Map Theorem
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摘要 We define a new topology on the space of strong types on a subset A of a model of a given theory and prove that either|S<sub>p</sub><sup>*</sup>(A)|【<sub>0</sub> or|S<sub>p</sub><sup>*</sup>(A)|≥2<sup><</sup>sub>0</sub>.We also deduce an open map theorem. We define a new topology on the space of strong types on a subset A of a model of a given theory and prove that either|S<sub>p</sub><sup>*</sup>(A)|&lt;<sub>0</sub> or|S<sub>p</sub><sup>*</sup>(A)|≥2<sup><</sup>sub>0</sub>.We also deduce an open map theorem.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1997年第1期59-63,共5页 数学学报(英文版)
关键词 Strong type Open map Model theory Strong type Open map Model theory
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