Title	Fraisse categories and their applications
Creator	Kubis, Wieslaw
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2015-11-10T16:05
Description	We will describe category-theoretic framework for Fraïssé limits, capturing objects outside of model theory. Our basic setting is a category enriched over metric spaces plus a function measuring the ``distortion" of arrows. Within this scheme, adding some natural axioms the Fraïssé limit exists, is unique, and has similar properties to classical Fraïssé limits. Our approach is parallel to Ben Yaacov's continuous Fraïssé theory, trying to avoid model-theoretic issues. Within our framework we capture the Gurarii space, the pseudo-arc, the Poulsen simplex, and some other objects coming from analysis and topology (both new and existing ones).
Extent	58 minutes
Subject	Mathematics; Combinatorics; Dynamical systems and ergodic theory; Logic and foundations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Academy of Sciences of the Czech Republic
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-05-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0302069
URI	http://hdl.handle.net/2429/58123
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

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