数学年刊B辑(英文版)
數學年刊B輯(英文版)
수학년간B집(영문판)
CHINESE ANNALS OF MATHEMATICS,SERIES B
2008年
4期
425-440
,共16页
Coincidence point%Nielsen number%Wecken property
The authors study the coincidence theory for pairs of maps from the Torus to the Klein bottle. Reidemeister classes and the Nielsen number are computed, and it is shown that any given pair of maps satisfies the Wecken property. The 1-parameter Wecken property is studied and a partial negative answer is derived. That is for all pairs of coincidence free maps a countable family of pairs of maps in the homotopy class is constructed such that no two members may be joined by a coincidence free homotopy.