Add to ORKGo. Introduction and Theorems Notation. Suppose that for each i E w, Xi is a metric space, and let X be the box product 0iEwXi (the point-set and a typical base element is IliEwU whereof X is J1 iEwXi i each Ui is a proper open set in Xi). Is X normal o
Let X be a metric space and {T1, ..., T N } be a finite family of mappings defined on D ⊂ X. Let r: ...
The notion of a sequence of sets and its convergence to a limit set in a metric space has a long his...
William Henry Ruckle introduced the notion of arithmetic convergence in the sense that a sequence d...
AbstractWe prove two theorems about box products. The first theorem says that the box product of cou...
AbstractFor any cardinal κ, if X is the box product of a family of discrete spaces in the κ-box topo...
AbstractKunen has shown that the Continuum Hypothesis implies that the box product of countably many...
AbstractIt is proved that the continuum hypothesis implies that the box product of countably many σ-...
AbstractWe prove two theorems about box products. The first theorem says that the box product of cou...
Let X be a metric space and {T1, ..., T N } be a finite family of mappings defined on D ⊂ X. Let r :...
Let X be a metric space and {T1, ..., T N } be a finite family of mappings defined on D ⊂ X. Let r :...
We study the behavior of inexact products of uniformly continuous self-mappings of a complete metric...
The topological product of a normal space with a metrizable space is not normal in general, as has b...
AbstractKunen has shown that the Continuum Hypothesis implies that the box product of countably many...
AbstractA space X is discretely generated if for any A⊂X and x∈A¯ there exists a discrete set D⊂A su...
AbstractIt is well-known that Z is a perfectly normal space (normal P-space) if and only if X×Z is p...
Let X be a metric space and {T1, ..., T N } be a finite family of mappings defined on D ⊂ X. Let r: ...
The notion of a sequence of sets and its convergence to a limit set in a metric space has a long his...
William Henry Ruckle introduced the notion of arithmetic convergence in the sense that a sequence d...
AbstractWe prove two theorems about box products. The first theorem says that the box product of cou...
AbstractFor any cardinal κ, if X is the box product of a family of discrete spaces in the κ-box topo...
AbstractKunen has shown that the Continuum Hypothesis implies that the box product of countably many...
AbstractIt is proved that the continuum hypothesis implies that the box product of countably many σ-...
AbstractWe prove two theorems about box products. The first theorem says that the box product of cou...
Let X be a metric space and {T1, ..., T N } be a finite family of mappings defined on D ⊂ X. Let r :...
Let X be a metric space and {T1, ..., T N } be a finite family of mappings defined on D ⊂ X. Let r :...
We study the behavior of inexact products of uniformly continuous self-mappings of a complete metric...
The topological product of a normal space with a metrizable space is not normal in general, as has b...
AbstractKunen has shown that the Continuum Hypothesis implies that the box product of countably many...
AbstractA space X is discretely generated if for any A⊂X and x∈A¯ there exists a discrete set D⊂A su...
AbstractIt is well-known that Z is a perfectly normal space (normal P-space) if and only if X×Z is p...
Let X be a metric space and {T1, ..., T N } be a finite family of mappings defined on D ⊂ X. Let r: ...
The notion of a sequence of sets and its convergence to a limit set in a metric space has a long his...
William Henry Ruckle introduced the notion of arithmetic convergence in the sense that a sequence d...