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Topology Seminar

Date:
-
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Robert Cass, University of Kentucky

Title:  The Freudenthal Suspension Theorem

Abstract:  The Freudenthal suspension theorem asserts that for an (n-1)-connected CW complex X the suspension map from \pi_i(X) to \pi_{i+1}(SX) is an isomorphism for i < 2n - 1 and a surjection for i = 2n - 1. We will introduce relative homotopy groups and the long exact sequence in homotopy groups for a space X and a subspace A. With these tools we will show how the Freudenthal suspension theorem follows from the homotopy excision theorem. Time permitting, we will examine some consequences for homotopy groups of spheres.

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