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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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200003379 |
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| _version_ | 1832554375403274240 |
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| author | David J. Sprows |
| author_facet | David J. Sprows |
| author_sort | David J. Sprows |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9ffe97899f6f4ddf9ccbb4c5325f1e89 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9ffe97899f6f4ddf9ccbb4c5325f1e892025-02-03T05:51:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124425125510.1155/S0161171200003379Local subhomeotopy groups of bounded surfacesDavid J. Sprows0Department of Mathematical Sciences, Villanova University, Villanova, 19085, PA, USALet 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.http://dx.doi.org/10.1155/S0161171200003379Local subhomeotopy groupisotopy class twist homeomorphismspin homeomorphism. |
| spellingShingle | David J. Sprows Local subhomeotopy groups of bounded surfaces International Journal of Mathematics and Mathematical Sciences Local subhomeotopy group isotopy class twist homeomorphism spin homeomorphism. |
| title | Local subhomeotopy groups of bounded surfaces |
| title_full | Local subhomeotopy groups of bounded surfaces |
| title_fullStr | Local subhomeotopy groups of bounded surfaces |
| title_full_unstemmed | Local subhomeotopy groups of bounded surfaces |
| title_short | Local subhomeotopy groups of bounded surfaces |
| title_sort | local subhomeotopy groups of bounded surfaces |
| topic | Local subhomeotopy group isotopy class twist homeomorphism spin homeomorphism. |
| url | http://dx.doi.org/10.1155/S0161171200003379 |
| work_keys_str_mv | AT davidjsprows localsubhomeotopygroupsofboundedsurfaces |