On spaces that are \(l\)-equivalent to a disk
type: Item
instance of: scholarly article
title: On spaces that are \(l\)-equivalent to a disk
zbMATH Open document ID: 0942.46017
DOI: 10.1016/S0166-8641(98)00080-7
author: Kazuhiko Morishita
published in: Topology and its Applications
publication date: 2000-03-02T00:00:00Z
review text: Let \(X\) be a Tychonoff space, and let \(C_p(X)\) be the space of all real-valued continuous functions on \(X\) with the pointwise convergence topology. Two Tychonoff spaces \(X\) and \(Y\) are said to be \(l\)-equivalent if the linear topological spaces \(C_p(X)\) and \(C_p(Y)\) are linearly homeomorphic. This paper gives a charactrization of Tychonoff spaces that are \(l\)-equivalent to a disk.
Mathematics Subject Classification ID: 46E10
Mathematics Subject Classification ID: 54C35
zbMATH DE Number: 1382626
zbMATH Keywords: linearly homeomorphic spaces
zbMATH Keywords: Tychonoff space
zbMATH Keywords: pointwise convergence topology
reviewed by: João B. Prolla
MaRDI profile type: Publication
full work available at URL: s0166-8641(98)00080-7
OpenAlex ID: W2020915881
description: scientific article; zbMATH DE number 1382626