On Diffeomorphic Mappings of One Nondegenerate Parallelepiped Onto Another

On Lipschitz Mappings Onto a Square

On a Class of Diffeomorphic Matching Problems in One Dimension

We study a class of functional which can be used for matching objects which can be represented as mappings from a fixed interval, I, to some “feature space.” This class of functionals corresponds to “elastic matching” in which a symmetry condition and a “focus invariance” are imposed. We provide sufficient conditions under which an optimal matching can be found between two such mappings, the op...

Mappings of the Sierpinski Curve onto Itself

Given two points p and q of the Sierpinski universal plane curve S, necessary and/ or sufficient conditions are discussed in the paper under which there is a mapping I of S onto itself such that I(P) = q and I belongs to one of the following: homeomorphisms, local homeomorphisms, local homeomorphisms in the large sense, open, simple or monotone mappings.

On holomorphically projective mappings onto almost Hermitian spaces1

In this paper we consider holomorphically projective mappings from equiaffine spaces onto almost Hermitian spaces. We found the equations of these mappings in the form of a system of linear Cauchy equations. These results generalize the results obtained for holomorphically projective mappings of Kählerian spaces by J. Mikeš and analogous results about K-spaces and Hspaces obtained by I.N. Kurba...

Hereditarily Weakly Confluent Mappings onto S

Results are obtained about the existence and behavior of hereditarily weakly confluent maps of continua onto the unit circle S1. A simple and useful necessary and sufficient condition is given for a map of a continuum, X, onto S1 to be hereditarily weakly confluent (HWC). It is shown that when X is arcwise connected, an HWC map of X onto S1 is monotone with arcwise connected fibers. A number of...