2009 Topology Seminar - 03

  • Date: 02/04/2009
Lecturer(s):
Sadok Kallel (University of Lille/PIMS visitor)
Location: 

University of British Columbia

Topic: 

Topological Aspects of finite subset spaces

Description: 

For any positive integer n and any space X, Sub{n}(X) denotes the space
of all finite subsets of X of cardinality at most n. This is almost
like a configuration space but not quite. It appears in various
contexts in algebraic and differential geometry. We review in this talk
some known (and attractive) results due to Borsuk, Bott or more
recently Tuffley. Then we build on this to give more detailed results
on the connectivity of Sub{n}X for general X and on the top homology group
when X is a manifold. This is joint work with Denis Sjerve (UBC).

Schedule: 

4:00pm-5:00pm, WMAX 110

Sponsor: 

pims