Weak openness of multiplication in the space \(C(0,1)\)
type: Item
instance of: scholarly article
title: Weak openness of multiplication in the space \(C(0,1)\)
zbMATH Open document ID: 1203.26017
published in: Real Analysis Exchange
publication date: 2010-09-02T00:00:00Z
review text: It is proved that the multiplication is a weakly open operation in \(C(0,1)\), the space of all continuous real-valued functions defined on \((0,1)\). A map between topological spaces is weakly open if the image of every non-empty open set has a non-empty interior.
reviewed by: Zoltán Finta
Mathematics Subject Classification ID: 26A99
Mathematics Subject Classification ID: 26A15
zbMATH DE Number: 5778796
zbMATH Keywords: multiplication
zbMATH Keywords: open mapping
zbMATH Keywords: weakly open mapping
zbMATH Keywords: space of continuous functions
author: Stanisław Kowalczyk
MaRDI profile type: Publication
full work available at URL: realanalexch.35.1.0235
OpenAlex ID: W1556897304
DOI: 10.14321/REALANALEXCH.35.1.0235
description: scientific article; zbMATH DE number 5778796