Preprint: From cubical to globular higher categories

The following preprint is available M. Grandis - R. Pare From cubical to globular higher categories Dip. Mat. Univ. Genova, Preprint 594 (2011). http://www.dima.unige.it/~grandis/CGlb.pdf Abstract. We show that a strict symmetric (infinite-dimensional) cubical category A has an associated omega-category Glb(A), consisting of its 'globular cubes'. The procedure of globularisation generally destroys important features of A, like the existence of limits and colimits or the presence of symmetries. Then we examine the much more complex weak case, up to constructing the tricategory associated to a weak symmetric 3-cubical category. Best regards Marco Grandis [For admin and other information see: http://www.mta.ca/~cat-dist/ ]