Calculating limits and colimits in pro-categories
By Daniel Isaksen. 2001
51 citations recorded by the source corpus.
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 \'etale homotopy types. Also, we show that cofiltered limits in pro-categories commute with finite colimits.
Subfields: Geometry and Topology, Mathematical Physics, Neurology
View Paper: https://www.semanticscholar.org/paper/c4c36ccc43edd2fd6812191c67943caefcc6d644
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Etale realization on the A1-homotopy theory of schemes (2001, background): “A rigid hypercover of a scheme X is a hypercover of X such that the map Un → (cosk X n−1U)n is a rigid cover for all n ≥ 0.”
- Strict Model Structures for Pro-categories (2001, background): “. Other references include [9] and [15]. 2. Preliminaries onPro-Categories We begin with a review of the necessary background on pro-categories. This material can be found in [1], [2], [8], [10], and [18]. 2.1. Pro-Categories. Definition 2.1. For a category C, the category pro-C has objects all cofilt”