DMS Topology Seminar

Speaker: Hannah Alpert (Auburn University) 

Title: Unintuitive properties of Urysohn 1-width

Abstract: A metric space has small Urysohn 1-width if it admits a continuous map to a 1-dimensional complex where the preimage of each point has small diameter.  An open problem is, if a space's universal cover has small Urysohn 1-width, must the original space also have small Urysohn 1-width?  Naively, we would guess yes, but various strange examples suggest maybe not. 

Joint work with Panos Papasoglu, Arka Banerjee, Alexey Balitskiy, and Larry Guth.