Localization Theories for Simplicial Presheaves
Localization Theories for Simplicial Presheaves
复制标题
简单预滑轮的定位理论
DOI：
10.4153/cjm-1998-051-1
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
J. Jardine
中科院分区：
文献类型：
--
作者：
P. Goerss;J. Jardine
摘要 大多数现存的空间、谱和图的局域化理论都可以从一系列简单的公理中推导出来，这些公理都得到了广泛的普遍性的验证。介绍了几种新的理论，包括单纯预滑的局域化和谱预滑在以谱预滑为代表的同调理论下的局域化，以及沿几何拓扑态射的局域化理论。 $f$ 局部化概念与单纯预滑轮类似，专门针对 Morel-Voevodsky 的 ${{\mathbb{A}}^{1}}$ 局部理论。该理论回答了 Soulé 关于空间图的积分同调定位的问题。
Abstract Most extant localization theories for spaces, spectra and diagrams of such can be derived from a simple list of axioms which are verified in broad generality. Several new theories are introduced, including localizations for simplicial presheaves and presheaves of spectra at homology theories represented by presheaves of spectra, and a theory of localization along a geometric topos morphism. The $f$ -localization concept has an analog for simplicial presheaves, and specializes to the ${{\mathbb{A}}^{1}}$ -local theory of Morel-Voevodsky. This theory answers a question of Soulé concerning integral homology localizations for diagrams of spaces.