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}
}
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

Topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 21 CITATIONS

References

Publications referenced by this paper.
SHOWING 1-10 OF 45 REFERENCES

Multitensors and higher operads, (in preparation; Talks to Australian Category

Michael Batanin, Mark Weber
  • Seminar 25 Nov. 1998,
  • 1998

Categorical structures, Handbook of Algebra Volume 1 (editor M

Ross Street
  • Hazewinkel; Elsevier Science,
  • 1996

Descent theory (notes of lectures presented at Oberwolfach, September 1995; see <http://www.maths.mq.edu.au/~street/Descent.pdf>)

Ross Street
  • 1995

On combinatorial models for higher dimensional homotopies

Sjoerd Crans
  • (Thesis, Univ. Utrecht,
  • 1995