most citedOn the 1-homotopy type of Lie groupoids

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math.AT2009

The Lusternik-Schnirelmann category of a Lie groupoid

Hellen Colman

We propose a new homotopy invariant for Lie groupoids which generalizes the classical Lusternik-Schnirelmann category for topological spaces. We use a bicategorical approach to dev…

math.AT2006★ 1 cited

On the 1-homotopy type of Lie groupoids

Hellen Colman

We propose a notion of 1-homotopy for generalized maps. This notion generalizes those of natural transformation and ordinary homotopy for functors. The 1-homotopy type of a Lie gro…