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Continuum Theory

Continua Session #5.1

Subevent of Continua Session #5

Heritage Hall Building 106

Times: 2026 Mar 13 from 10:20AM to 10:40AM (Central Time (US & Canada))

A simple USC bonding function giving $D_m$ as its inverse limit space

Robert Roe <rroe@mst.edu>, Missouri University of Science and Technology

Abstract:

We show how the Wa.zewski universal dendrite of order $m$, for any positive integer $m$ greater than 2, can be obtain as the generalized inverse limit of a single set-valued upper semi-continuous bonding function on $[0,1]$ whose graph consists of exactly $m$ line segments. $D_m$ has been obtained previously as a generalized inverse limit of a single bonding function but in that case the bonding function was extremely complicated consisting of infinitely many line segments. This is joint work with Faruq Mena.

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