Algebraic Topology Seminar 2006
Topic
We study the concepts of homotopy disjointness and
homotopy disjointness by small deformation for mappings
between spheres. Joint work with Daciberg Goncalves produced
the following result. The existence of a mapping f: S^(4n-2)
-> S^(2n) with n>4 which is homotopy disjoint from itself, but not by small deformation, produces a solution to the Strong Kervaire Invariant One Problem. The converse is also true. Recent related work of Ulrich Koschorke is also discussed.
homotopy disjointness by small deformation for mappings
between spheres. Joint work with Daciberg Goncalves produced
the following result. The existence of a mapping f: S^(4n-2)
-> S^(2n) with n>4 which is homotopy disjoint from itself, but not by small deformation, produces a solution to the Strong Kervaire Invariant One Problem. The converse is also true. Recent related work of Ulrich Koschorke is also discussed.
Speakers
Additional Information
Duane Randall (Loyola University)
