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In this paper we construct a Kelley continuum $X$ such that $X \times [0, 1]$ is not semi-Kelley, this answers a question posed by J.J. Charatonik and W.J. Charatonik in A weaker form of the property of Kelley, Topology Proc. 23 (1998), 69–99. In addition, we show that the hyperspace $C (X)$ is not semi- Kelley. Further we show that small Whitney levels in $C (X)$ are not semi-Kelley, answering a question posed by A. Illanes in Problemas propuestos para el taller de Teoría de continuos y sus hiperespacios, Queretaro, 2013.

Pseudo-homotopies of the pseudo-arc

Alejandro Illanes (2012)

Commentationes Mathematicae Universitatis Carolinae

Let $X$ be a continuum. Two maps $g, h : X \to X$ are said to be pseudo-homotopic provided that there exist a continuum $C$ , points $s, t \in C$ and a continuous function $H : X \times C \to X$ such that for each $x \in X$ , $H (x, s) = g (x)$ and $H (x, t) = h (x)$ . In this paper we prove that if $P$ is the pseudo-arc, $g$ is one-to-one and $h$ is pseudo-homotopic to $g$ , then $g = h$ . This theorem generalizes previous results by W. Lewis and M. Sobolewski.

Pseudo-interiors of hyperspaces

Nelly Kroonenberg (1976)

Compositio Mathematica

Pseudoradial Spaces: Finite Products and an Example From CH

Simon, Petr, Tironi, Gino (1998)

Serdica Mathematical Journal

∗ The first named author’s research was partially supported by GAUK grant no. 350, partially by the Italian CNR. Both supports are gratefully acknowledged. The second author was supported by funds of Italian Ministery of University and by funds of the University of Trieste (40% and 60%).Aiming to solve some open problems concerning pseudoradial spaces, we shall present the following: Assuming CH, there are two semiradial spaces without semi-radial product. A new property of pseudoradial spaces...

Quantifying completion.

Lowen, Robert, Windels, Bart (2000)

International Journal of Mathematics and Mathematical Sciences

Quasi $M$ -compact spaces

Salvador García-Ferreira (1996)

Czechoslovak Mathematical Journal

Quasi-homeomorphisms, Goldspectral spaces and Jacspectral spaces

Othman Echi (2003)

Bollettino dell'Unione Matematica Italiana

In this paper, we deal with the study of quasi-homeomorphisms, the Goldman prime spectrum and the Jacobson prime spectrum of a commutative ring. We prove that, if $g : Y \to X$ is a quasi-homeomorphism, $Z$ a sober space and $f : Y \to Z$ a continuous map, then there exists a unique continuous map $F : X \to Z$ such that $F \circ g = f$ . Let $X$ be a $T_{0}$ -space, $q : X \to^{s} X$ the injection of $X$ onto its sobrification ${}^{s}X$ . It is shown, here, that $q (Gold (X)) = Gold ({}^{s}X)$ , where $Gold (X)$ is the set of all locally closed points of $X$ . Some applications are also indicated. The Jacobson prime spectrum...

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Products of uniform spaces

Products of uniform spaces (Summary)

Proper shape invariants: Smoothness and calmness.

Proper shape invariants: Tameness and movability.

Properties of the covering type and a factorization theorem

Property of being semi-Kelley for the cartesian products and hyperspaces

Pseudo-homotopies of the pseudo-arc

Pseudo-interiors of hyperspaces

Pseudoradial Spaces: Finite Products and an Example From CH

Quantifying completion.

Quasi $M$ -compact spaces

Quasi-homeomorphisms, Goldspectral spaces and Jacspectral spaces

Quotient structures for quasi-uniform spaces

Quotients of k-semigroups.

QUOTIENTS OF UNIFORM SEMIGROUPS.

Rare $α$ -continuity.

Raster convergence with respect to a closure operator

Realization of Cartesian Closed Topological Hulls.

Realization of mappings

Realizations of topologies and closure operators by set systems and by neighbourhoods

Currently displaying 701 – 720 of 1013