Movability and homotopy, homology pro-groups of Whitney continua
type: Item
instance of: scholarly article
title: Movability and homotopy, homology pro-groups of Whitney continua
zbMATH Open document ID: 0608.54003
author: Hisao Kato
published in: Journal of the Mathematical Society of Japan
publication date: 1987-01-01T00:00:00Z
review text: It is known that the property of being pointed \(\ell\)-movable is a Whitney property and the property of being movable is a Whitney property for \(\theta\) (2)-curves. We show that the property of being movable is not a Whitney property. More precisely, there exists a movable curve X and a Whitney map w for C(X) such that for some \(0<t<w(X)\), \(w^{-1}(t)\) is not 2-movable. Also, the first homotopy and homology pro-groups of Whitney continua are investigated.
Mathematics Subject Classification ID: 54B20
Mathematics Subject Classification ID: 54C56
Mathematics Subject Classification ID: 55P55
zbMATH DE Number: 3984088
zbMATH Keywords: (pointed) n-movability
zbMATH Keywords: FANR
zbMATH Keywords: Whitney property
zbMATH Keywords: movable curve
zbMATH Keywords: Whitney map
zbMATH Keywords: first homotopy and homology pro-groups
zbMATH Keywords: Whitney continua
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/03930435
OpenAlex ID: W1975305143
DOI: 10.2969/JMSJ/03930435
description: scientific article; zbMATH DE number 3984088