| 期刊全称 | Bousfield Classes and Ohkawa‘s Theorem | | 期刊简称 | Nagoya, Japan, Augus | | 影响因子2023 | Takeo Ohsawa,Norihiko Minami | | 视频video | | | 发行地址 | Is the world‘s first volume that focuses on the surprising and mysterious Ohkawa‘s theorem: the Bousfield classes form a set.Starts with Ohkawa‘s theorem, stated in the universal stable homotopy categ | | 学科分类 | Springer Proceedings in Mathematics & Statistics | | 图书封面 |  | | 影响因子 | .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 .D.qc.(.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 Smithin the triangulated subcategory .SH.c., consisting of compact objects in .SH.. Now the following questions naturally occur: (1) Having theorems of Ohkawa and Hopkins-Smith in .SH., are there analogues for the Morel-Voevodsky A.1.-stable homotopy category .SH.(.k. | | Pindex | Conference proceedings 2020 |
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发表于 2025-3-21 19:15:27
