Bousfield Classes and Ohkawa's Theorem: Nagoya, Japan, August 28-30, 2015 (Springer Proceedings in Mathematics & Statistics (309))

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Posted on 2020-03-20, by books_lover.

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Bousfield Classes and Ohkawa's Theorem: Nagoya, Japan, August 28-30, 2015 (Springer Proceedings in Mathematics & Statistics (309))
This volume originated in the workshop held at Nagoya University, August 28–30, 2015, focusing on the surprising and mysterious Ohkawa's theorem: the Bousfield classes in the stable homotopy category SH form a set. An inspiring, extensive mathematical story can be narrated starting with Ohkawa's theorem, evolving naturally with a chain of motivational questions: Ohkawa's theorem states that the Bousfield classes of the stable homotopy category SH surprisingly forms a set, which is still very mysterious. Are there any toy models where analogous Bousfield classes form a set with a clear meaning? The fundamental theorem of Hopkins, Neeman, Thomason, and others states that the analogue of the Bousfield classes in the derived category of quasi-coherent sheaves Dqc(X) form a set with a clear algebro-geometric description. However, Hopkins was actually motivated not by Ohkawa's theorem but by his own theorem with Smith in the triangulated subcategory SHc, consisting of compact objects in S
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