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Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
Abstract: In this article it is shown that to every non-discrete Hausdorff linear topology on $\Z$ other metrizable locally quasi-convex group topologies can be associated which are strictly finer tha...
Let k be a commutative ring. We study the behaviour of coverings of k-categories through fibre products and find a criterion for a covering to be Galois or universal.
We show that there is a topological (Berry phase) term in the non-linear  model description of the SO(5) spin chain. It distinguishes the linear and projective repre-sentations of the SO(5) symmetry ...
For regularized estimation, the upper tail behavior of the random Lipschitz coefficient asso- ciated with empirical loss functions is known to play an important role in the error bound of Lasso for ...
We discuss some stability problems when each agent of a linear flock on the line interacts with its two nearest neighbors (one on either side).
In this paper, we investigate a linear homeomorphism between function spaces Cp(X) and Cp,A(X) \times Cp(A) , where X is a normal space and A is a neighborhood retraction of X.
The equations of parallel transport for a non-linear connection on phase space are examined. It is shown that, for a free-particle Lagrangian, the connection term first-order in momentum reproduces th...
We consider a possible isomorphism of cartesian product of two Dragilev spaces of infinite type, and by making use of Zahariuta invariants and some structural properties, we show that if there is such...

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