Spahn
combinatorial shape (Rev #4, changes)
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General theory
Reedy categories
Interaction with model structures, generalized and elegant Reedy categories
Characterizations of cells
Functorial characterization
Recursive characterization
Examples
$\Delta$ the simplex category
$\Omega$ the globe category
$T$ the tree category
$\square$ the cube category
$\Theta$ Joyal’s category
$\Gamma$ Segal’s category
Opetope
Poset
Functorial images of combinatorial shape categories
Constraints on the functor
Nerves, Realization and Segal conditions
Model structures and presentation of higher structures
References

This Week’s Finds in Mathematical Physics (Week 242), web (Discussion at the nCafe)

Tom Leinster, higher operads, higher categories, arXiv:math/0305049

higher topos theory

André Joyal, The theory of quasicategories and its applications lectures at Simplicial Methods in Higher Categories, (pdf)

André Joyal, Notes on quasicategories (pdf).

Eugenia Cheng, Aaron Lauda, higherdimensional categories: an illustrated guide book, pdf

Ieke Moerdijk, Bertrand Toen, simplicial methods for operads and algebraic geometry
Revision on November 13, 2012 at 14:53:25 by
Stephan Alexander Spahn?.
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