Wed, 28 Feb 2007
16:00
L3

On possible non-homeomorphic substructures of the real line.

Philip Welch
(Bristol)
Abstract

 

We consider as a starting point a problem raised by Kunen and Tall as to whether

the real continuum can have non-homeomorphic versions in different submodels of

the universe of all sets. Its resolution depends on modest large cardinals.

In general Junqueira and Tall have made a study of such "substructure spaces"

where the topology of a subspace can be different from the usual relative

topology.

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