Asphericity structures, smooth functors, and fibrations
G. Maltsiniotis
TL;DR
This paper generalizes Grothendieck's theory of smooth functors to encompass fibered categories, providing a new characterization of fibered categories within a broader theoretical framework.
Contribution
It extends the theory of smooth functors to include fibered categories, offering a novel characterization and unifying these concepts.
Findings
New characterization of fibered categories
Generalization of smooth functors theory
Unified framework for fibered categories
Abstract
The aim of this paper is to generalize Grothendieck's theory of smooth functors in order to include within this framework the theory of fibered categories. We obtain in particular a new characterization of fibered categories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra