Title	Polish dendrites & Polish groups
Creator	Duchesne, Bruno
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-14T10:22
Description	A dendrite is a continuum (i.e. a compact connected metrizable space) that is locally connected and such that any two points are joined by a unique arc. T. Wazewski introduced a universal dendrite in which any other dendrite can embedded. Its construction can be generalized to yield an uncountable family of non-homeomorphic dendrites. Their homeomorphism groups are closed subgroups of $S_\infty$ and thus are Polish groups. Moreover some of them are oligomorphic. In this talk, we will be interested in structural and topological properties of these groups like simplicity, Bergman property, property $(T)$, existence of a dense or comeager conjugacy class, automatic continuity or small index property.
Extent	53 minutes
Subject	Mathematics; Topological groups, lie groups; Abstract harmonic analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universite de Lorraine
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-12-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0361813
URI	http://hdl.handle.net/2429/63921
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos

Polish dendrites & Polish groups Duchesne, Bruno

Description

Item Metadata

Item Media

Item Citations and Data

Rights