GREY SUBSETS OF POLISH SPACES
| Autor: | Itaï Ben Yaacov, Julien Melleray |
|---|---|
| Přispěvatelé: | Algèbre, géométrie, logique (AGL), Institut Camille Jordan [Villeurbanne] (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université Jean Monnet [Saint-Étienne] (UJM)-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), ANR-11-JS01-0008,Grupoloco,Groupes polonais et Logique continue(2011) |
| Rok vydání: | 2015 |
| Předmět: |
Index (economics)
Property (philosophy) Logic small density property Mathematics::General Topology Context (language use) 0102 computer and information sciences small index property 22A05 03E15 01 natural sciences FOS: Mathematics grey subset 0101 mathematics Mathematics 010102 general mathematics Hausdorff space Mathematics - Logic 16. Peace & justice [MATH.MATH-LO]Mathematics [math]/Logic [math.LO] Mathematics::Logic Philosophy 010201 computation theory & mathematics Polish space topometric group grey subgroup Logic (math.LO) Mathematical economics Descriptive set theory |
| Zdroj: | The Journal of Symbolic Logic. 80:1379-1397 |
| ISSN: | 1943-5886 0022-4812 |
| DOI: | 10.1017/jsl.2014.60 |
| Popis: | We develop the basics of an analogue of descriptive set theory for functions on a Polish space X. We use this to define a version of the small index property in the context of Polish topometric groups, and show that Polish topometric groups with ample generics have this property. We also extend classical theorems of Effros and Hausdorff to the topometric context. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|