Local subhomeotopy groups of bounded surfaces
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 define...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200003379 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |