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On meager function spaces, network character and meager convergence in topological spaces
network character meager convergent sequence meager filter meager space
2011/1/20
For a non-isolated point x of a topological space X let nw (x) be the smallest cardinality of a family N of infinite subsets of X such that each neighborhood O(x) X of x contains a set N 2 N.
Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional
Relaxation Singular Perturbation Geometric Measure
2010/12/14
We establish some new results about the -limit, with respect to the L1-topology, of two di erent (but related) phase- eld approximations of the so-called Euler's Elastica Bending Energy for ...
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
Surface measures convergence of the Ornstein-Uhlenbeck semigroup Wiener spaces
2010/11/26
We study points of density 1/2 of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this clas...