2017/01/26 by González, Jesús · 2 citations
#05E45 #55M30 #57Q05 #68T40 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1701.07612
Using the notion of contiguity of simplicial maps, we adapt Farber's topological complexity to the realm of simplicial complexes. We show that, for a finite simplicial complex K, our discretized concept recovers the topological complexity of the realization ‖K‖. Our approach is well suited for designing and implementing algorithms that search for optimal motion planners for autonomous systems in real-life applications.