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Local subhomeotopy groups of bounded surfaces

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  • David J. Sprows

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.

Suggested Citation

  • David J. Sprows, 2000. "Local subhomeotopy groups of bounded surfaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-5, January.
    • Handle: RePEc:hin:jijmms:137454
    DOI: 10.1155/S0161171200003379
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