Thomassen [Combinatorica 24 (2004), 699–718] proved that a 2–connected, compact, locally connected metric space is homeomorphic to a subset of the sphere if and only if it doe...
R. Bruce Richter, Brendan Rooney, Carsten Thomasse...
Estimating divergence between two point processes, i.e. probability laws on the space of spike trains, is an essential tool in many computational neuroscience applications, such a...
: We investigate the relationship between computable metric spaces (X, d, ) and (X, d, ), where (X, d) is a given metric space. In the case of Euclidean space, and are equivalent ...
We study line systems in metric spaces induced by graphs. A line is a subset of vertices defined by a relation of betweeness. We show that the class of all graphs having exactly k ...
Let X be a compact metric space. A closed set K X is located if the distance function d(x, K) exists as a continuous realvalued function on X; weakly located if the predicate d(x,...
For a complete lattice V which, as a category, is monoidal closed, and for a suitable Setmonad T we consider (T, V)-algebras and introduce (T, V)-proalgebras, in generalization of...
Maria Manuel Clementino, Dirk Hofmann, Walter Thol...
A nearly logarithmic lower bound on the randomized competitive ratio for the metrical task systems problem is presented. This implies a similar lower bound for the extensively stu...
We consider the generalized on-line two-server problem in which at each step each server receives a request, which is a point in a metric space. One of the servers has to be moved ...
In recent years, considerable advances have been made in the study of properties of metric spaces in terms of their doubling dimension. This line of research has not only enhanced...