Haar null and Haar meager sets: a survey and new results

Autor:	Donát Nagy, Márton Elekes
Rok vydání:	2020
Předmět:	Discrete mathematics General Mathematics 010102 general mathematics Null (mathematics) Haar Survey result Locally compact space 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Bulletin of the London Mathematical Society. 52:561-619
ISSN:	1469-2120 0024-6093
DOI:	10.1112/blms.12340
Popis:	We survey results about Haar null subsets of (not necessarily locally compact) Polish groups. The aim of this paper is to collect the fundamental properties of the various possible definitions of Haar null sets, and also to review the techniques that may enable the reader to prove results in this area. We also present several recently introduced ideas, including the notion of Haar meager sets, which are closely analogous to Haar null sets. We prove some results in a more general setting than that of the papers where they were originally proved and prove some results for Haar meager sets which were already known for Haar null sets.
Databáze:	OpenAIRE
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