Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Colman, Hellen"'
Autor:
Angel, Andres, Colman, Hellen
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 for $G$-spaces coincides with the Lusternik-Schnirelmann category for
Externí odkaz:
http://arxiv.org/abs/2208.12882
We use the homotopy invariance of equivariant principal bundles to prove that the equivariant ${\mathcal A}$-category of Clapp and Puppe is invariant under Morita equivalence. As a corollary, we obtain that both the equivariant Lusternik-Schnirelmann
Externí odkaz:
http://arxiv.org/abs/1908.04949
Autor:
Boughrira, Allaoua, Colman, Hellen
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 on a track. The topological complexity of a configuration space is an i
Externí odkaz:
http://arxiv.org/abs/1904.12806
Autor:
Angel, Andres, Colman, Hellen
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-relation) between these notions and the topological complexity of the
Externí odkaz:
http://arxiv.org/abs/1709.00642
We introduce the notion of Lusternik-Schnirelmann category for differentiable stacks and establish its relation with the groupoid Lusternik-Schnirelmann category for Lie groupoids.
Externí odkaz:
http://arxiv.org/abs/1512.00131
Autor:
Angel, Andres, Colman, Hellen
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 1959-2008
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 discrete group acting on a topological space $X$ is a translation groupoid gi
Externí odkaz:
http://arxiv.org/abs/1509.07915
Autor:
Colman, Hellen, Grant, Mark
Publikováno v:
Algebr. Geom. Topol. 12 (2012) 2299-2316
We define and study an equivariant version of Farber's topological complexity for spaces with a given compact group action. This is a special case of the equivariant sectional category of an equivariant map, also defined in this paper. The relationsh
Externí odkaz:
http://arxiv.org/abs/1205.0166
Autor:
Colman, Hellen
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 develop a notion of contraction in this context. We propose a notion of h
Externí odkaz:
http://arxiv.org/abs/0908.3325
Autor:
Colman, Hellen
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 groupoid is shown to be invariant under Morita equivalence. As an applica
Externí odkaz:
http://arxiv.org/abs/math/0612257
Autor:
Colman, Hellen, Hurder, Steven
Publikováno v:
Transactions of the American Mathematical Society, 2004 Apr 01. 356(4), 1463-1487.
Externí odkaz:
https://www.jstor.org/stable/3845007
