Categorical and Combinatorial Aspects of Descent Theory

@article{Street2003CategoricalAC,
  title={Categorical and Combinatorial Aspects of Descent Theory},
  author={Ross Street},
  journal={Applied Categorical Structures},
  year={2003},
  volume={12},
  pages={537-576}
}

• Ross Street
• Published in
  Applied Categorical…
  2003
• DOI:10.1023/b:apcs.0000049317.24861.36

There is a construction which lies at the heart of descent theory. The combinatorial aspects of this paper concern the description of the construction in all dimensions. The description is achieved precisely for strict n-categories and outlined for weak n-categories. The categorical aspects concern the development of descent theory in low dimensions in order to provide a template for a theory in all dimensions. The theory involves non-abelian cohomology, stacks, torsors, homotopy, and higher… CONTINUE READING

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