13 citations · 23 across the 3 of their papers we have counts for
3 papers
math.CT2004★ 13 cited
Thin Elements and Commutative Shells in Cubical omega-categories
Philip J. Higgins
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…
math.AT2002★ 10 cited
The fundamental groupoid of the quotient of a Hausdorff space by a discontinuous action of a discrete group is the orbit groupoid of the induced action
Ronald Brown, Philip J. Higgins
The main result is that the fundamental groupoid of the orbit space of a discontinuous action of a discrete group on a Hausdorff space which admits a universal cover is the orbit g…
math.AT2002
Cubical abelian groups with connections are equivalent to chain complexes
R. Brown, Philip J. Higgins
The theorem of the title is deduced from the equivalence between crossed complexes and cubical -groupoids with connections proved by the authors in 1981. In fact we prove the eq…