Any space homeomorphic to one of the standard subcontinua of the Stone-Čech remainder of the real half-line is called an ultra-arc. Alternatively, an ultra-arc may be viewed as an ultracopower of the real unit interval via a free ultrafilter on a countable set. It is known that any continuum of weight is a continuous image of any ultra-arc; in this paper we address the problem of which continua are continuous images under special maps. Here are some of the results we present
The search for homogeneous, circle-like continua progresses. There are three known homogeneous plane...
AbstractLet I be the unit interval. We show that the metric connectivity images and metric extendabl...
AbstractWe give new sufficient conditions for a continuum to be a remainder of H . We also show that...
Any space homeomorphic to one of the standard subcontinua of the Stone-Čech remainder of the real ha...
The main purpose of this paper is to characterize the continuous images of arcs by their images of t...
AbstractWe study continuously irreducible continua and characterize them as those continua of type λ...
The main purpose of this paper is to prove some theorems concerning inverse systems and limits of co...
AbstractK.R. Kellum has proved that a continuum is an almost continuous image of the interval [0, 1]...
ABSTRACT. The main results of this paper are three examples. The first one is a Suslinian arc-like c...
AbstractIt is known that rim-finite and, more generally, hereditarily locally connected continua are...
The theorem proven here is that every compact metric continuum is a continuous image of some heredit...
AbstractWe prove that if Si is a Souslin arc (a Hausdorff arc that is the compactification of a Sous...
AbstractGeneral theorems concerning one-to-one continuous functions from connected linearly ordered ...
Abstract. We prove that the Čech-Stone remainder of the real line has a family of 2c mutually non-h...
AbstractWe present a survey of work on the title topic. Several questions are also posed
The search for homogeneous, circle-like continua progresses. There are three known homogeneous plane...
AbstractLet I be the unit interval. We show that the metric connectivity images and metric extendabl...
AbstractWe give new sufficient conditions for a continuum to be a remainder of H . We also show that...
Any space homeomorphic to one of the standard subcontinua of the Stone-Čech remainder of the real ha...
The main purpose of this paper is to characterize the continuous images of arcs by their images of t...
AbstractWe study continuously irreducible continua and characterize them as those continua of type λ...
The main purpose of this paper is to prove some theorems concerning inverse systems and limits of co...
AbstractK.R. Kellum has proved that a continuum is an almost continuous image of the interval [0, 1]...
ABSTRACT. The main results of this paper are three examples. The first one is a Suslinian arc-like c...
AbstractIt is known that rim-finite and, more generally, hereditarily locally connected continua are...
The theorem proven here is that every compact metric continuum is a continuous image of some heredit...
AbstractWe prove that if Si is a Souslin arc (a Hausdorff arc that is the compactification of a Sous...
AbstractGeneral theorems concerning one-to-one continuous functions from connected linearly ordered ...
Abstract. We prove that the Čech-Stone remainder of the real line has a family of 2c mutually non-h...
AbstractWe present a survey of work on the title topic. Several questions are also posed
The search for homogeneous, circle-like continua progresses. There are three known homogeneous plane...
AbstractLet I be the unit interval. We show that the metric connectivity images and metric extendabl...
AbstractWe give new sufficient conditions for a continuum to be a remainder of H . We also show that...