[Alta-Logic] Peripatetic seminar this afternoon at 2:00 in ICT616
Robin Cockett
robin at cpsc.ucalgary.ca
Wed Mar 8 10:10:49 MST 2006
Apologies for the late announcement.
-robin
Today's seminar is:
Time: 2:00pm 8th March (today)
Place: ICT 616
Title : Numerical Invariants in Homotopical Algebra
Speaker: Kalathoor Varadarajan
Abstract:
The Lusternik-Schnirelmann Category of a non empty
topological space X is (n - 1) where n is the smallest
number of open sets covering X with the property that
each of them is contractible in X . Thus for a contractible space
the category is 0. If there is no such integer the category
of X is defined to be infinity. It turned out to be an
invariant of the homotopy type of X. Tudor Ganea introduced
a dual invariant "Cocategory" and other invariants Nil X,
Co-nil X, inductive Category etc and studied their
inter-relationship.
We will develop all these concepts for any object
in a model category in the sense of Quillen.
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