An uncountable family of disjoint spatial continua in Euclidean space
type: Item
instance of: scholarly article
title: An uncountable family of disjoint spatial continua in Euclidean space
zbMATH Open document ID: 0877.54030
DOI: 10.1007/BF00971401
author: V. K. Ionin
author: Yurii G. Nikonorov
published in: Siberian Mathematical Journal
publication date: 1994-11-08T00:00:00Z
review text: A continuum is called spatial if it cannot be covered by a hypersurface. In other words, a continuum \(K\) is called spatial if the difference \(K\smallsetminus M\) is nonempty for any hypersurface \(M\). The main result of the present article consists in constructing a thin spatial continuum in the plane \(\mathbb{R}^2\). Certainly, with an example in the plane available, one can trivially construct analogous examples in Euclidean spaces of higher dimensions.
Mathematics Subject Classification ID: 54F15
Mathematics Subject Classification ID: 54F50
zbMATH DE Number: 652198
zbMATH Keywords: thin spatial continuum
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 652198