模型结构的塔与纤维积
代数拓扑
2017-02-15 v1
摘要
给定一个局部化模型结构的左Quillen预层，我们研究相关联的截面范畴上的同伦极限模型结构。我们特别关注模型范畴的塔与纤维积（拉回）。作为应用，我们考虑模型范畴的Postnikov塔、谱的色塔以及谱的Bousfield算术平方。对于稳定模型范畴，我们证明稳定左Bousfield局部化的同伦纤维是一个稳定右Bousfield局部化。
关键词
引用
@article{arxiv.1602.06808,
title = {Towers and fibered products of model structures},
author = {Javier J. Gutiérrez and Constanze Roitzheim},
journal= {arXiv preprint arXiv:1602.06808},
year = {2017}
}
备注
20 pages. The paper "Bousfield localisations along Quillen bifunctors and applications" (arXiv:1411.0500v1) has been divided into two parts: "Towers and fibered products of model structures", which is this arXiv submission, and "Bousfield localisations along Quillen bifunctors" (arXiv:1411.0500v2)