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by John C. Baez, James Dolan
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http://math.ucr.edu/home/baez/op.ps.Z
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Abstract:
We give a definition of weak n-categories based on the theory of operads. We work with operads having an arbitrary set S of types, or `S-operads', and given such an operad O, we denote its set of operations by elt(O). Then for any S-operad O there is an elt(O)-operad O whose algebras are S-operads over O. Letting I be the initial operad with a one-element set of types, and defining I
Citations
|
124
|
Closed Categories
– Eilenberg, Kelly
- 1966
|
|
101
|
Simplicial Objects in Algebraic Topology
– May
- 1967
|
|
93
|
Une th'eorie combinatoire des s'eries formelles
– Joyal
- 1981
|
|
87
|
Homotopical Algebra
– Quillen
- 1967
|
|
60
|
Introduction to bicategories
– Bénabou
- 1967
|
|
50
|
Coherence for tricategories
– Gordon, Power, et al.
- 1995
|
|
48
|
The geometry of iterated loop spaces
– May
- 1972
|
|
46
|
Homotopy associativity of H-spaces
– Stasheff
- 1963
|
|
45
|
The Algebra of Oriented Simplexes
– Street
- 1987
|
|
42
|
Higher-dimensional algebra and topological quantum field theory
– Baez, Dolan
- 1995
|
|
33
|
General theory of natural equivalences
– Eilenberg, Lane
- 1945
|
|
30
|
From groups to groupoids: a brief survey
– Brown
- 1987
|
|
28
|
Higher-dimensional algebra I: Braided monoidal 2categories
– Baez, Neuchl
- 1996
|
|
27
|
Infinite Loop Spaces
– Adams
- 1978
|
|
26
|
2-categories and Zamolodchikov tetrahedra equations
– Kapranov, Voevodsky
- 1994
|
|
24
|
Calculus of fractions and homotopy theory. In Ergebnisse der Mathematik und ihrer Grenzgebiete, volume 35
– Gabriel, Zisman
- 1967
|
|
22
|
The combinatorics of n-categorical pasting
– Johnson
- 1989
|
|
19
|
Higher-dimensional algebra II: 2-Hilbert spaces
– Baez
- 1997
|
|
17
|
On Combinatorial Models for Higher Dimensional Homotopies
– Crans
- 1995
|
|
13
|
An n-categorical pasting theorem
– Power
- 1990
|
|
7
|
Avoiding the axiom of choice in general category theory
– Makkai
- 1996
|
|
6
|
Homotopy Types, Handbook of Algebraic Topology, Edited by
– Baues
- 1995
|
|
5
|
Homotopy invariant structures on topological spaces
– Boardman, Vogt
- 1973
|
|
3
|
Koszul duality for operads
– Ginsburg, Kapranov
- 1994
|
|
3
|
Pursuing stacks, unpublished manuscript
– Grothendieck
- 1983
|
|
2
|
letter to
– Baez, Dolan
- 1995
|
|
2
|
The idea of generating function, in Finite Operator Calculus
– Doubilet, Rota, et al.
- 1975
|
|
1
|
Introduction to n-categories, to appear
– Baez
|
|
1
|
On the definition of weak !-category, Macquarie Mathematics Report No. 96/207. Monoidal globular categories as a natural environment for the theory of weak n-categories
– Batanin
|
|
1
|
des notions de 1-categorie et 1-groupoide non-strictes via des ensembles multi-simpliciaux, preprint available as alg-geom/9512006. Equivalence de la th'eorie homotopique des n-groupoides et celle des espaces topologiques n-tronqu'es, preprint available a
– Tamsamani, Sur
|
