Local subhomeotopy groups of bounded surfaces

Autor: David J. Sprows
Jazyk: angličtina
Rok vydání: 2000
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 24, Iss 4, Pp 251-255 (2000)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171200003379
Popis: Let Mn 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 Mn,r denote the manifold obtained by removing r distinct points from the interior of Mn. The subhomeotopy group of Mn,r, denoted Hn(Mn,r), is defined to be the group of all isotopy classes (rel ∂Mn,r) of homeomorphisms of Mn,r that are the identity on the boundary. In this paper, we use the isotopy classes of various homeomorphisms of Sn+1,r2 to investigate the subgroup of Hn(Mn,r) consisting of those elements that are presented by local homeomorphisms.
Databáze: Directory of Open Access Journals
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