Formulas for the Reidemeister, Lefschetz and Nielsen coincidence number of maps between infra-nilmanifolds

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• 作者：Ku Yong Ha (1)
  Jong Bum Lee (1)
  Pieter Penninckx (2)
  
• 关键词：infra ; nilmanifold ; Lefschetz coincidence number ; Nielsen coincidence number ; Reidemeister coincidence number.
• 刊名：Fixed Point Theory and Applications
• 出版年：2012
• 出版时间：December 2012
• 年：2012
• 卷：2012
• 期：1
• 全文大小：370KB
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• 作者单位：Ku Yong Ha (1)
  Jong Bum Lee (1)
  Pieter Penninckx (2)
  
  1. Department of Mathematics, Sogang University, Seoul, 121-742, Korea
  2. Department of Mathematics, Katholieke Universiteit Leuven, Campus Kortrijk, B-8500, Kortrijk, Belgium
  
• ISSN：1687-1812

文摘

We prove practical formulas for the Reidemeister coincidence number, the Lefschetz coincidence number and the Nielsen coincidence number of continuous maps between oriented infra-nilmanifolds of equal dimension. In order to obtain these formulas, we use the averaging formulas for the Lefschetz coincidence number and for the Nielsen coincidence number and we develop an averaging formula for the Reidemeister coincidence number. We also give a simple proof of the averaging formula for the Lefschetz coincidence number. Mathematics Subject Classification 2000: 55M20; 57S30.