Geodesic
Thin elements and commutative shells in cubical omega-categories
Theory and applications of categories, Tome 14 (2005), pp. 60-74.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

The relationships between thin elements, commutative shells and connections in cubical omega-categories are explored by a method which does not involve the use of pasting theory or nerves of omega-categories (both of which were previously needed for this purpose; see Al-Agl, Brown and Steiner, Section 9). It is shown that composites of commutative shells are commutative and that thin structures are equivalent to appropriate sets of connections; this work extends to all dimensions the results proved in dimensions 2 and 3 in Brown, Kamps and Porter and Brown and Mosa.
Classification : 18D05
Keywords: cubical omega-category, connections, thin elements, thin structure, folding operations, commutative shells 
@article{TAC_2005_14_a3,
     author = {Philip J. Higgins},
     title = {Thin elements and commutative shells  in cubical omega-categories},
     journal = {Theory and applications of categories},
     pages = {60--74},
     publisher = {mathdoc},
     volume = {14},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2005_14_a3/}
}
TY  - JOUR
AU  - Philip J. Higgins
TI  - Thin elements and commutative shells  in cubical omega-categories
JO  - Theory and applications of categories
PY  - 2005
SP  - 60
EP  - 74
VL  - 14
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2005_14_a3/
LA  - en
ID  - TAC_2005_14_a3
ER  - 
%0 Journal Article
%A Philip J. Higgins
%T Thin elements and commutative shells  in cubical omega-categories
%J Theory and applications of categories
%D 2005
%P 60-74
%V 14
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2005_14_a3/
%G en
%F TAC_2005_14_a3
Philip J. Higgins. Thin elements and commutative shells  in cubical omega-categories. Theory and applications of categories, Tome 14 (2005), pp. 60-74. http://geodesic.mathdoc.fr/item/TAC_2005_14_a3/