Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, October 19, 2015 - 12:00 to 12:45

Location:

Gilkey 115

Local Speaker:

Abstract:

I will begin by discussing a number of equivalent approaches to defining the end set of a manifold. There is an end corresponding to

each component of the complement of compact sets for sufficiently large compact sets. I will then define the genus of an end

in the three manifold setting and will describe how to construct simply connected three manifolds with a countable dense set of

ends of specified generii. The construction will of course involve Cantor sets.