Closed Legendrian (d− 1)-dimensional locally rectifiable currents on the sphere bundle in R are considered and the associated index functions are studied. A topological condition assuring the… (More)

It is shown that sufficiently close outer and inner parallel sets to a ddimensional Lipschitz manifold in R with boundary have locally positive reach and the normal cycle of the Lipschitz manifold… (More)

A local regular behavior at almost all boundary points of a set in R representable as a locally finite union of sets with positive reach is shown. As an application, a limit formula for the volume of… (More)

There exists an extensive literature on Wiener sausages; see e.g. [25] and the references therein. Nevertheless, relatively little is known so far about the geometry of Wiener sausages due to the… (More)

The existence of mixed curvature measures of two sets in R with positive reach introduced in [6] is discussed. An example shows that the non-osculating condition from [6] does not ensure the locally… (More)

The VR-1 reactor is operated by the Czech Technical University in Prague more than 20 years. The reactor is utilized mainly for education and training purposes. Therefore, the Czech Technical… (More)

The Paper describes basic information about MCNP calculations and experimental measurements at the VR-1 reactor and their evaluation. The preparation of calculations and verification of the… (More)

Let B (“black”) and W (“white”) be disjoint compact test sets in R and consider the volume of all its simultaneous shifts keeping B inside and W outside a compact set A ⊂ R. If the union B ∪W is… (More)

The information contained in the measure of all shifts of two or three given points contained in an observed compact subset of d is studied. In particular, the connection of the first order… (More)