27/09/2007, 15:00 — 16:00 — Room P4.35, Mathematics Building Mike Paluch, Instituto Superior Técnico
Homotopy spectral sequences, pairing and cap products (II)
For a pointed cosimplicial space , Bousfield and Kan constructed a pointed space , which is analogous to the geometric realization of a simplicial space, and developed a spectral sequence abutting to the homotopy groups of . In addition they showed that this spectral sequence supports a multiplicative pairing. In this talk I wish to present an analogous property for pointed simplicial spaces as well as discussing a cap product pairing for cosimplicial and simplicial pointed spaces and their respective homotopy spectral sequences.
