منابع مشابه
Model Structures on pro - Categories
We introduce a notion of a ltered model structure and use this notion to produce various model structures on pro-categories. This framework generalizes the examples of [13], [15], and [16]. We give several examples, including a homotopy theory for G-spaces, where G is a pronite group. The class of weak equivalences is an approximation to the class of underlying weak
متن کاملCalculating Limits and Colimits in Pro-categories
We present some constructions of limits and colimits in pro-categories. These are critical tools in several applications. In particular, certain technical arguments concerning strict pro-maps are essential for a theorem about étale homotopy types. Also, we show that cofiltered limits in pro-categories commute with finite colimits.
متن کاملStrict Model Structures for Pro-categories
We show that if C is a proper model category, then the pro-category pro-C has a strict model structure in which the weak equivalences are the levelwise weak equivalences. This is related to a major result of [10]. The strict model structure is the starting point for many homotopy theories of pro-objects such as those described in [5], [17], and [19].
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چکیده ندارد.
15 صفحه اولCommutative ring objects in pro-categories and generalized Moore spectra
We develop a rigidity criterion to show that in simplicial model categories with a compatible symmetric monoidal structure, operad structures can be automatically lifted along certain maps. This is applied to obtain an unpublished result of M. J. Hopkins that certain towers of generalized Moore spectra, closely related to the K(n)-local sphere, are E∞-algebras in the category of pro-spectra. In...
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ژورنال
عنوان ژورنال: Glasnik Matematicki
سال: 2010
ISSN: 0017-095X
DOI: 10.3336/gm.45.1.13