Pursuing Stacks
Pursuing Stacks (French: À la Poursuite des Champs) is an influential 1983 mathematical manuscript by Alexander Grothendieck. The word "stack" refers to a possible generalization of scheme, a central object of study in algebraic geometry.
Among the concepts introduced in the manuscript are derivators and test categories.
Some parts of the manuscript were later developed by:
- Maltsiniotis's La Théorie de l'homotopie de Grothendieck (Grothendieck's Homotopy Theory), http://www.math.jussieu.fr/~maltsin/ps/prstnew.pdf
- Cisinski's (augmented version of his) thesis Les Préfaisceaux comme modèles des types d'homotopie (Presheaves as Models for Homotopy Types): http://www.math.univ-toulouse.fr/~dcisinsk/ast.pdf
See also
References
- http://mathoverflow.net/questions/171920/whats-special-about-the-simplex-category/172914
- R. Brown, The Origins of `Pursuing Stacks' by Alexander Grothendieck
External links
- http://ncatlab.org/nlab/show/Pursuing+Stacks
- http://mathoverflow.net/questions/115549/conjectures-in-grothendiecks-pursuing-stacks
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