塔和模型结构的纤维制品
Towers and fibered products of model structures
摘要:
给定局部化模型结构的左Quillen预层,研究了相关截面范畴上的同伦极限模型结构。我们专注于塔和纤维产品(回撤)的模型类别。作为应用,我们考虑Postnikov塔的模型类别,色塔的光谱和Bousfield算术平方谱。对于稳定的模型类别,我们证明了一个稳定的左Bousfield本地化的同伦纤维是一个稳定的右Bousfield本地化。
英文摘要:
Given a left Quillen presheaf of localized model structures, we study the homotopy limit model structure on the associated category of sections. We focus specifically on towers and fibered products (pullbacks) of model categories. As applications we consider Postnikov towers of model categories, chromatic towers of spectra and Bousfield arithmetic squares of spectra. For stable model categories, we show that the homotopy fiber of a stable left Bousfield localization is a stable right Bousfield localization.
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