论文标题

当Bousfield的本地化和同型IDEMPOTENT函数再次相遇时

When Bousfield localizations and homotopy idempotent functors meet again

论文作者

Carmona, Victor

论文摘要

我们采用半模型类别来扩展与模型类别Bousfield本地化有关的基本结果。更具体地说,我们将Bousfield-Friedlander定理和细胞模型类别的Hirschhorn定位定理推广到不适用其经典配方的设置。我们使用这样的结果在半模型类别的世界中回答,这是May-Ponto对Hurewicz和混合类型模型结构的存在提出的一个开放问题。

We adopt semimodel categories to extend fundamental results related to Bousfield localizations of model categories. More specifically, we generalize Bousfield-Friedlander Theorem and Hirschhorn Localization Theorem of cellular model categories to settings where their classical formulation does not apply. We use such results to answer, in the world of semimodel categories, an open problem posed by May-Ponto about the existence of Bousfield localizations for Hurewicz and mixed type model structures.

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