Imaginaries in separably closed valued fields

Autor:	Silvain Rideau, Moshe Kamensky, Martin Hils
Rok vydání:	2018
Předmět:	Pure mathematics Degree (graph theory) General Mathematics 010102 general mathematics 02 engineering and technology 0101 mathematics 021001 nanoscience & nanotechnology 0210 nano-technology Space (mathematics) 01 natural sciences Mathematics
Zdroj:	Proceedings of the London Mathematical Society. 116:1457-1488
ISSN:	0024-6115
DOI:	10.1112/plms.12116
Popis:	We show that separably closed valued fields of finite imperfection degree (either with lambda-functions or commuting Hasse derivations) eliminate imaginaries in the geometric language. We then use this classification of interpretable sets to study stably dominated types in those structures. We show that separably closed valued fields of finite imperfection degree are metastable and that the space of stably dominated types is strict pro-definable.
Databáze:	OpenAIRE
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