In this paper, we present an algorithm to compute the filtered generalizedČech complex for a finite collection of disks in the plane, which don't necessarily have the same radius.The key step behind the algorithm is to calculate the minimum scale factor needed to ensure rescaled disks have a nonempty intersection, through a numerical approach, whose convergence is guaranteed by a generalization of the well-known Vietoris-Rips Lemma, which we also prove in an alternative way, using elementary geometric arguments.We present two applications of our main results. We give an algorithm for computing the 2-dimensional filtered generalizedČech complex of a finite collection of d-dimensional disks in R d . In addition, we show how the algorithm yields the minimal enclosing ball for a finite set of points in the plane.
We present a survey of some results and questions related to the notion of scalar curvature in the setting of symplectic supermanifolds.Dedicado a Jaime Muñoz-Masqué, maestro y amigo, en su 65 aniversario
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