Wed, 06 Mar 2019
16:00
C2

"Large continua via ultracoproducts"

Paul Bankston
(Milwaukee and Aberystwyth)
Abstract

It is known that every continuum X is a weakly confluent image of a continuum Y which is hereditarily indecomposable and of covering dimension one.  We use the ultracoproduct construction to gain information about the number of composants of Y.  For example, in ZFC, we can ensure that this number is arbitrarily large.  And if we assume the GCH, we can arrange for Y to have as many composants at it has points.

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