Farber introduced a notion of topological complexity TC (X) that is related to robotics. Here
we introduce a series of numerical invariants TCn (X), n= 2, 3,…, such that TC2 (X)= TC (X) …

We develop the properties of the n th sequential topological complexity TC n, a homotopy
invariant introduced by the third author as an extension of Farber's topological model for …

We show that well-known invariants like Lusternik–Schnirelmann category and topological
complexity are particular cases of a more general notion, that we call homotopic distance …

The complexity of algorithms solving the motion planning problem is measured by a
homotopy invariant $\mathrm {TC}(X) $ of the configuration space $ X $ of the system …

Topological complexity TC (B) of a space B is introduced by M. Farber to measure how much
complex the space is, which is first considered on a configuration space of a motion …

In this paper, we show that in most cases, the topological complexity of Seifert fibered
manifolds is either $6 $ or $7 $. Then we show that the topological complexity of the wedge …

We present a new approach to an equivariant version of Farber's topological complexity
called invariant topological complexity. It seems that the presented approach is more …

In this paper, we obtain an upper bound on the higher topological complexity of the total
spaces of fibrations. As an application, we improve the usual dimensional upper bound on …

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 …

Topological complexity of monotone symplectic manifolds Page 1 arXiv:2311.14989v1 [math.AT]
25 Nov 2023 TOPOLOGICAL COMPLEXITY OF MONOTONE SYMPLECTIC MANIFOLDS …