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On strong homology, phantom maps, and the same $n$-type problems

Daewoong Lee
Department of Mathematics, Dartmouth College, Hanover NH 03755, and Department of Mathematics, Chonbuk National University, Jeonju, Jeonbuk 561-756, Republic of Korea

Thursday, October 9, 2008
007 Kemeny Hall, 4 pm
Tea 3:30 pm, 300 Kemeny Hall

Abstract: In this talk, we discuss some basic notions in algebraic topology such as singular (co)homology, categories and functors. We also describe some fundamental results about the strong (co)homology groups, derived limits of various inverse systems, and phantom maps. Moreover, we construct the same $n$-type structure for the suspension of the infinite complex projective space, and introduce the same $n$-type problems in homotopy theory.

This talk will be accessible to graduate students.