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| BOUNDS ON COINCIDENCE INDICES ON NON-ORIENTABLE SURFACES |
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Citation： |
D. VENDRUSCOLO.BOUNDS ON COINCIDENCE INDICES ON NON-ORIENTABLE SURFACES[J].Chinese Annals of Mathematics B,2005,26(2):315~322 |
| Page view： 1186
Net amount： 957 |
Authors： |
D. VENDRUSCOLO; |
Foundation： |
Project supported by FAPESP. |
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| Abstract： |
This paper presents some results about bounds for coincidence
indices of Nielsen coincidence classes for maps between
nonorientable surfaces. Denoting by $K_n$ the nonorientable
surface constructed by a connected sum of $n$ torus with a Klein
bottle, the author proves: (i) for pairs of maps between two Klein
bottles or for pairs of maps from a Klein bottle to a surface
$K_n$ the coincidence class index is bounded. (ii) for pairs of
maps from $K_n$ to the Klein bottle the coincidence class index is
unbounded. Other boundedness results are given for more technical
conditions, including one for self maps. |
Keywords： |
Nielsen theory, Coincidence theory, Coincidence index, Surfaces |
Classification： |
55M20, 57N05 |
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