Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)
M. M. Kapranov; V. A. Voevodsky
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1991)
- Volume: 32, Issue: 1, page 11-27
- ISSN: 1245-530X
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topKapranov, M. M., and Voevodsky, V. A.. "Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)." Cahiers de Topologie et Géométrie Différentielle Catégoriques 32.1 (1991): 11-27. <http://eudml.org/doc/91468>.
@article{Kapranov1991,
author = {Kapranov, M. M., Voevodsky, V. A.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {free -categories; convex polytopes; triangulations; configurations of hyperplanes; oriented matroids; higher Bruhat orders; pasting scheme; chain complex},
language = {eng},
number = {1},
pages = {11-27},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)},
url = {http://eudml.org/doc/91468},
volume = {32},
year = {1991},
}
TY - JOUR
AU - Kapranov, M. M.
AU - Voevodsky, V. A.
TI - Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1991
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 32
IS - 1
SP - 11
EP - 27
LA - eng
KW - free -categories; convex polytopes; triangulations; configurations of hyperplanes; oriented matroids; higher Bruhat orders; pasting scheme; chain complex
UR - http://eudml.org/doc/91468
ER -
References
top- [BFS] L. Billera, P. Filliman & B. Sturmfels, Constructions and complexity of secondary polytopes, Adv. in Math., 1990, 83 (2), 155-179. Zbl0714.52004MR1074022
- [BS] J. Bokowski & B. Sturmfels, Computational synthetic geometry, Lecture Notes in Math., 1355, Springer, 1989. Zbl0683.05015MR1009366
- [BH] R. Brown & P. Higgins, The equivalence of ∞-groupoids and crossed complexes, Cah. Top. Geom. Diff.1981, 22 (4) 371-386. Zbl0487.55007
- [FL] J. Folkman & J. Lawrence, Oriented Matroids, J. Comb. Theory, ser. B, 1978, 25 (2) 199-236. Zbl0325.05019MR511992
- [GZK1] I.M. Gelfand, A.V. Zelevinsky & M.M. Kapranov, Newton polytopes of principal A-determinants, DAN SSSR, 1989, 308 (1) 20-23, (in Russian). Zbl0742.14042
- [GZK2] I.M. Gelfand, A.V. Zelevinsky & M.M. Kapranov, Discriminants of polynomials in several variables and triangulations of Newton Polytopes, Algebra i Analiz, 1990, 2 (3), 1-62, (in Russian). Zbl0741.14033MR1052262
- [Gr] A. Grothendieck, Pursuing Stacks, Manuscript, 1983.
- [Gru] B. Grunbaum, Convex polytopes, Interscience, 1968. Zbl0163.16603MR226496
- [J] M. Johnson, The combinatorics of n-categorical pasting, J. Pure and Appl. Algebra, 1989, 62 (3), 211-225. Zbl0694.18007MR1026875
- [K] D.M. Kan, Abstract homotopy theory, Proc. Nat. Acad. Sci. USA, 1955, 41 (12) 1092-1096. Zbl0065.38601MR79762
- [MS1] Yu. I. Manin & V.V. Schechtman, On the higher Bruhat orders related to the symmetric group, Func. Ana.iz. i ego pril., 1986, 20 (2) 74-75 (in Russian). Zbl0646.20014MR847150
- [MS2] Yu. I. Manin & V.V. Schechtman, Arrangements of real hyperplanes and Zamolodchhikov's equations, In: Group-theoretical Methods in Physics, Moscow, Nauka, 1986, 1, 316-324 (in Russian). Zbl0699.58069MR946834
- [MS3] Yu. I. Manin & V.V. Schechtman, Arrangements of hyperplanes, higher braid groups and higher Bruhat orders, Advanced Studies in Pure Mathematics, 1989, 17, 289-308. Zbl0759.20002MR1097620
- [Mi] R.J. Milgram, Iterated loop spaces, Annals of Math., 1966, 84 (3) 386-403. Zbl0145.19901MR206951
- [P] A.J. Power, A 2-categorical pasting theorem, J. of Algebra, 1990, 129 (2) 439-445. Zbl0698.18005MR1040947
- [R] G. Ringel, Teilungen der Ebene durch Geraden order Pseudogeraden, Math. Z., 1956, Bd. 64, no. 1, 79-102. Zbl0070.16108MR74817
- [S1] R. Street, The algebra of oriented simplexes, J. Pure Appl. Alg.1987, 49 (3) 283-335. Zbl0661.18005MR920944
- [S2] R. Street, Parity complexes, Macquarie Math. Report, No. 88-0015, 1988.
- [Sta] J. Stasheff, Homotopy associativity of H-spaces, Trans. Amer. Math. Soc., 1963 (108) 275-312. Zbl0114.39402MR158400
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