Let G be a locally compact Hausdorff group. We study orbit spaces of equivariant absolute neighborhood extensors (G-ANE's) in the category of all proper G-spaces that are metrizable by a G-invariant metric. We prove that ...

We prove some basic properties of p-bounded subsets (p epsilon omega) in terms of z-ultrafilters and families of continuous functions, We analyze the relations between p-pseudocompactness with other pseudocompact like-properties ...

Given a metric continuum X, let 2(X) denote the hyperspace of all nonempty closed subsets of X. For each positive integer k let C-k(X) stand for the hyperspace of members of 2(X) having at most k components. Consider ...

It is proved that the number of semikernels (quasi kernels) of a digraph D is less than or equal to the number of semikernels (quasi kernels) of its line digraph L(D). It is also proved that the number of Grundy functions ...

A point p in a dendroid X is a shore point if there exists a sequence of subdendroids of X not containing p and converging to X with respect to the Hausdorff metric. The purpose of this paper is to present new results ...

In this paper we make use of the Pol-Sapirovski's technique to prove several cardinal inequalities, which generalize other well-known inequalities. (C) 2006 Elsevier B.V. All rights reserved.

We call a star with n-arms a set of n univalent Baker domains (UBDs) {U-i}(i=1)(n), such that for all i, j = 1,..., n and i not equal j, (U) over bar (i) boolean AND (U) over bar (j) =. In this paper we prove that for any ...

It has been known for several decades that electrical alternans occurs during myocardial ischemia in both clinical and experimental work. There are a few reports showing that this alternans can be triggered into existence ...

It is proved that: (1) every Lie group G can act properly (in sense of Palais) on each infinite-dimensional Hilbert space 12 (T) of a given weight tau such that (G, l(2) (tau)) becomes a universal G-space for all metrizable ...