Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies
Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a pr...
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171294000669 |
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| _version_ | 1832556008169275392 |
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| author | Roger B. Nelson |
| author_facet | Roger B. Nelson |
| author_sort | Roger B. Nelson |
| collection | DOAJ |
| description | Let h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set. |
| format | Article |
| id | doaj-art-9f45b5fe764f43a9a990d2691c0f60aa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9f45b5fe764f43a9a990d2691c0f60aa2025-02-03T05:46:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117345746210.1155/S0161171294000669Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodiesRoger B. Nelson0Department of Mathematical Sciences, Ball State University, Muncie 47306-0590, IN, USALet h be an involution with a 0 or 1-dimensional fixed point set on an orientable handlebody M. We show that obvious necessary conditions for fibering M as A×I so that h=τ×r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set.http://dx.doi.org/10.1155/S0161171294000669orientable handlebodyinvolutioninvariant diskfixed point set. |
| spellingShingle | Roger B. Nelson Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies International Journal of Mathematics and Mathematical Sciences orientable handlebody involution invariant disk fixed point set. |
| title | Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
| title_full | Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
| title_fullStr | Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
| title_full_unstemmed | Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
| title_short | Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies |
| title_sort | product involutions with 0 or 1 dimensional fixed point sets on orientable handlebodies |
| topic | orientable handlebody involution invariant disk fixed point set. |
| url | http://dx.doi.org/10.1155/S0161171294000669 |
| work_keys_str_mv | AT rogerbnelson productinvolutionswith0or1dimensionalfixedpointsetsonorientablehandlebodies |