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- W1979610421 abstract "Let F : M → M be a self-map of a hyperbolic surface with boundary. If F is both simple and W-characteristic , we present a formula for the Nielsen number N ( F ) which depends only on the induced map F # of the fundamental group. We list several distinct classes of maps which are simple, and use the fact that if M is the pants surface, i.e., the disc with two holes, we can find a map F ' in one of these classes such that N ( F ) = N ( F ') and M F [ F ] = M F [ F '] where M F [ F ] denotes the minimum number of fixed points of any map homotopic to F . Using Kelly's formulas for the minimum number for self-maps of the pants surface, we determined which maps satisfy the Wecken property N ( F ) = M F [ F ]." @default.
- W1979610421 created "2016-06-24" @default.
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- W1979610421 date "1997-03-01" @default.
- W1979610421 modified "2023-10-17" @default.
- W1979610421 title "Classes of Wecken maps of surfaces with boundary" @default.
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- W1979610421 doi "https://doi.org/10.1016/s0166-8641(96)00036-3" @default.
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