Departmental Colloquium
Steven Leth
University of Northern Colorado
Some Examples of the use of nonstandard methods in continuum theory
Abstract: In this talk I will outline some applications of nonstandard methods to the
study of compact, connected subsets of the plane. Nonstandard models allow
for many complicated limiting properties of a set to be "actualized" in the nonstandard version of the set. This
can make objects such as "pseudo-arcs" and
other hereditarily indecomposable continua more intuitive to work with. Of
particular interest are possible applications to sub-questions of the
plane fixed point problem, which asks if every compact, connected
subset of the plane that does not separate the plane has the fixed point
property.
Friday April 24, 2015 at 3:00 PM in SEO 636