AbstractFarber 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) and TCn(X)⩽TCn+1(X). For these higher complexities, we define their symmetric versions that can also be regarded as higher analogs of the symmetric topological complexity
We introduce the topological complexity of the work map associated to a robot system. In broad terms...
We introduce the topological complexity of the work map associated to a robot system. In broad terms...
International audienceIt has been observed that the very important motion planning problem of roboti...
AbstractFarber introduced a notion of topological complexity TC(X) that is related to robotics. Here...
We develop the properties of the nth sequential topological complexity TCn, a homotopy invariant int...
We develop the properties of the $n$-th sequential topological complexity $TC_n$, a homotopy invaria...
Abstract. Topological complexity T C(B) of a space B is introduced by M. Farber to measure how much ...
Abstract. We present a new approach to equivariant version of the topological complexity, called a s...
The sectional category of a continuous map between topological spaces is a numerical invariant of th...
In this paper we study a notion of topological complexity TC(X) for the motion planning problem. TC(...
Yu. Rudyak has recently extended Farber’s notion of topological complexity by defining, for n ≥ 2, t...
The topological complexity TC(X) is a homotopy invariant of a topological space X, motivated by rob...
AbstractWe use an alternative definition of topological complexity to show that the topological comp...
WOS: 000451344700028The intersection of topological robotics and digital topology leads to us a new ...
Topological complexity is a number that measures how hard it is to plan motions (for robots, say) in...
We introduce the topological complexity of the work map associated to a robot system. In broad terms...
We introduce the topological complexity of the work map associated to a robot system. In broad terms...
International audienceIt has been observed that the very important motion planning problem of roboti...
AbstractFarber introduced a notion of topological complexity TC(X) that is related to robotics. Here...
We develop the properties of the nth sequential topological complexity TCn, a homotopy invariant int...
We develop the properties of the $n$-th sequential topological complexity $TC_n$, a homotopy invaria...
Abstract. Topological complexity T C(B) of a space B is introduced by M. Farber to measure how much ...
Abstract. We present a new approach to equivariant version of the topological complexity, called a s...
The sectional category of a continuous map between topological spaces is a numerical invariant of th...
In this paper we study a notion of topological complexity TC(X) for the motion planning problem. TC(...
Yu. Rudyak has recently extended Farber’s notion of topological complexity by defining, for n ≥ 2, t...
The topological complexity TC(X) is a homotopy invariant of a topological space X, motivated by rob...
AbstractWe use an alternative definition of topological complexity to show that the topological comp...
WOS: 000451344700028The intersection of topological robotics and digital topology leads to us a new ...
Topological complexity is a number that measures how hard it is to plan motions (for robots, say) in...
We introduce the topological complexity of the work map associated to a robot system. In broad terms...
We introduce the topological complexity of the work map associated to a robot system. In broad terms...
International audienceIt has been observed that the very important motion planning problem of roboti...
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