Local subhomeotopy groups of bounded surfaces
type: Item
instance of: scholarly article
title: Local subhomeotopy groups of bounded surfaces
zbMATH Open document ID: 0966.57026
DOI: 10.1155/S0161171200003379
author: David J. Sprows
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2001-08-16T00:00:00Z
full work available at URL: https://eudml.org/doc/48846
review text: The subgroup consisting of elements presented by local homeomorphisms of the so-called subhomeotopy group, denoted by \(H_n(M_{n,r})\) of a 2-dimensional manifold \(M_{n,r}\), obtained by removing the interiors of \(n\) disjoint closed disks and \(r\) distinct points from the interior of the obtained manifold, is discussed by making use of the isotopy classes of various homeomorphisms of \(S^2_{n+1,r}\). It is shown that there are three types of generating sets for this subgroup and the commutator relations for the generators are given. Depending on the manifold and on the value of \(n\), the number of generators can be reduced.
Mathematics Subject Classification ID: 57N37
Mathematics Subject Classification ID: 57N05
Mathematics Subject Classification ID: 57P05
zbMATH DE Number: 1533319
zbMATH Keywords: pseudo-isotopy
zbMATH Keywords: isotopy class
zbMATH Keywords: spin homeomorphism
zbMATH Keywords: twist homeomorphism
reviewed by: Ismail Naci Cangül
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1533319