The concept of “visual complexity” is related to spatial complexity. From landscapes to
paintings and fractals, aesthetic appeal is directly related to spatial complexity (or, at least, to …

We show how locally smooth actions of compact Lie groups on a manifold X can be used to
obtain new upper bounds for the topological complexity TC (X), in the sense of Farber. We …

We show that the topological complexity of an aspherical space X is bounded below by the
cohomological dimension of the direct product A× B, whenever A and B are subgroups of π …

Purpose With the increasing demand for surveillance and smart transportation, drone
technology has become the center of attraction for robotics researchers. This study aims to …

We construct" higher" motion planners for automated systems whose spaces of states are
homotopy equivalent to a polyhedral product space Z(K,{(S^k_i,⋆)\}), eg robot arms with …

Higher Toda brackets and Massey products | Journal of Homotopy and Related Structures Skip
to main content SpringerLink Account Menu Find a journal Publish with us Search Cart 1.Home …

In this paper we provide an explicit general construction of higher homotopy operations in
model categories, which include classical examples such as (long) Toda brackets and …

Motivated by the motion planning problem in robotics, this relatively new homotopy-type
invariant was introduced by MS Farber in [Discrete Comput. Geom. 29 (2003), no. 2, 211 …

Topological robotics is a new mathematical discipline studying topological problems
inspired by robotics and engineering as well as problems of practical robotics requiring …

Mathematics in Zurich has a long and distinguished tradition, in which the writing of lecture
notes volumes and research monographs play a prominent part. The Zurich Lectures in …