Wed, 28 Feb 2007
16:00
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.