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- W2058365556 abstract "Abstract We describe the formal framework for cellularization functors in triangulated categories and study the preservation of ring and module structures under these functors in stable homotopy categories in the sense of Hovey, Palmieri and Strickland, such as the homotopy category of spectra or the derived category of a commutative ring. We prove that cellularization functors preserve modules over connective rings but they do not preserve rings in general (even if the ring is connective or the cellularization functor is triangulated). As an application of these results, we describe the cellularizations of Eilenberg–Mac Lane spectra and compute all acyclizations in the sense of Bousfield of the integral Eilenberg–Mac Lane spectrum." @default.
- W2058365556 created "2016-06-24" @default.
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- W2058365556 date "2012-05-17" @default.
- W2058365556 modified "2023-09-24" @default.
- W2058365556 title "Cellularization of structures in stable homotopy categories" @default.
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- W2058365556 doi "https://doi.org/10.1017/s0305004112000278" @default.
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