Local subhomeotopy groups of bounded surfaces

David J. Sprows

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-5

Abstract:

Let M n denote the 2-dimensional manifold with boundary obtained by removing the interiors of n disjoint closed disks from a closed 2-manifold M and let M n , r denote the manifold obtained by removing r distinct points from the interior of M n . The subhomeotopy group of M n , r , denoted H n ( M n , r ) , is defined to be the group of all isotopy classes (rel ∂ M n , r ) of homeomorphisms of M n , r that are the identity on the boundary. In this paper, we use the isotopy classes of various homeomorphisms of S n + 1 , r 2 to investigate the subgroup of H n ( M n , r ) consisting of those elements that are presented by local homeomorphisms.

Date: 2000
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/24/137454.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/24/137454.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:137454

DOI: 10.1155/S0161171200003379

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().