24 citations · 25 across the 8 of their papers we have counts for
9 papers
G-category versus orbifold category
Andres Angel, Hellen Colman
We present a comparative study of certain invariants defined for group actions and their analogues defined for orbifolds. In particular, we prove that Fadell's equivariant category…
Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity
Andrés Angel, Hellen Colman, Mark Grant +1
We use the homotopy invariance of equivariant principal bundles to prove that the equivariant -category of Clapp and Puppe is invariant under Morita equivalence. As a…
A Motion Planning Algorithm in a lollipop graph
Allaoua Boughrira, Hellen Colman
This paper is concerned with problems relevant to motion planning in robotics. Configuration spaces are of practical relevance in designing safe control schemes for robots moving o…
Equivariant topological complexities
Andres Angel, Hellen Colman
The aim of this article is to review different generalizations of the the notion of topological complexity to the equivariant setting. In particular, we review the relation (or non…
The Lusternik-Schnirelmann category for a differentiable stack
Samirah Alsulami, Hellen Colman, Frank Neumann
We introduce the notion of Lusternik-Schnirelmann category for differentiable stacks and establish its relation with the groupoid Lusternik-Schnirelmann category for Lie groupoids.
Free and based path groupoids
Andres Angel, Hellen Colman
We give an explicit description of the free path and loop groupoids in the Morita bicategory of translation topological groupoids. We prove that the free path groupoid of a discret…