Parity complexes
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1991)
- Volume: 32, Issue: 4, page 315-343
- ISSN: 1245-530X
Access Full Article
topHow to cite
topStreet, Ross. "Parity complexes." Cahiers de Topologie et Géométrie Différentielle Catégoriques 32.4 (1991): 315-343. <http://eudml.org/doc/91485>.
@article{Street1991,
author = {Street, Ross},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {-category; combinatorial structure; parity complexes; diagrams; positive and negative faces; chain complex of free abelian groups; movement; descent theory; cohomology; homotopy types},
language = {eng},
number = {4},
pages = {315-343},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Parity complexes},
url = {http://eudml.org/doc/91485},
volume = {32},
year = {1991},
}
TY - JOUR
AU - Street, Ross
TI - Parity complexes
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1991
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 32
IS - 4
SP - 315
EP - 343
LA - eng
KW - -category; combinatorial structure; parity complexes; diagrams; positive and negative faces; chain complex of free abelian groups; movement; descent theory; cohomology; homotopy types
UR - http://eudml.org/doc/91485
ER -
References
top- [A1] Iain Aitchison, The geometry of oriented cubes, Macquarie Mathematics Reports 86-002 (December 1986).
- [A2] Iain Aitchison, String diagrams for non-abelian cocycle conditions (Handwritten Notes, Talk presented at Louvain-la-Neuve Belgium 1987).
- Iain Aitchison and Ross Street, [AS] The algebra of oriented cubes (Handwritten Notes).
- [ASn] F.A. Al-Agl and R. Steiner, Nerves of multiple categories, University of Glasgow, Department of Mathematics Preprint Series 91/10 (14 February 1991). MR1189094
- [BH] R. Brown and P.J. Higgins, The equivalence of crossed complexes and ∞groupoids, Cahiers de topologie et géométrie différentielle22 (1981) 371-386. Zbl0487.55007
- [J] Michael Johnson, Pasting Diagrams in n-Categories with Applications to Coherence Theorems and Categories of Paths, (PhD Thesis, University of Sydney, October 1987).
- [JW] Michael Johnson and Robert Walters, On the nerve of an n-category, Cahiers de topologie et géométrie différentielle catégorique28 (1987) 257-282. Zbl0662.18006MR926546
- [KV1] M.M. Kapranov and V.A. Voevodsky, Combinatorial-geometric aspects of polycategory theory: pasting schemes and higher Bruhat orders (List of results), Preprint (1990). MR1130400
- [KV2] M. M. Kapranov and V. A. Voevodsky, ∞-Groupoids and homotopy types, Preprint (1990).
- [MS] Yu. I Manin and V.V. Schechtman, Arrangements of hyperplanes, higher braid groups and higher Bruhat orders, Advanced Studies in Pure Mathematics17 (1989) 289-308. Zbl0759.20002MR1097620
- [M] Ross Moore, Apple Macintosh software implementing the excision of extremals algorithm for simplexes and the like, (Macquarie University, 1989).
- [Pw] A.J. Power, An n-categorical pasting theorem, Lecture Notes in Math.1488 (Springer, 1991) 326-358. Zbl0736.18004MR1173022
- [P] Vaughan Pratt, Modeling concurrency with geometry, Preprint (Stanford University, August 1990). Zbl0622.68034
- [R1] J.E. Roberts, Mathematical aspects of local cohomology, Proc. Colloquium on Operator Algebras and their Application to Mathematical Physics (Marseille1977). Zbl0455.55005
- [R2] J.E. Roberts, Complicial sets (Handwritten Notes 1978).
- [Sn] Richard Steiner, Pasting in multiple categories, Preprint (August 1991). MR1489462
- [S0] Ross Street, Higher-dimensional nerves (Handwritten Notes, April-May 1982).
- [S1] Ross Street, The algebra of oriented simplexes, j. Pure Appl. Algebra49 (1987) 283-335. Zbl0661.18005MR920944
- [S2] Ross Street, Parity complexes, Macquarie Mathematics Reports 88-0015 (January 1988).
- [S3] Ross Street, Fillers for nerves, Lecture Notes in Math.1348 (Springer-Verlag, 1988) 337-341. Zbl0656.18012MR975981
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.