REMARKS ON THE REIDEMEISTER NUMBER OF A G-MAP

  • Cho, Sung Ki (Department of Mathematics Education Konkuk University) ;
  • Kweon, Dae Seop (Department of Mathematics Education Inchon National University of Education)
  • Received : 1998.04.09
  • Published : 1998.09.15

Abstract

For a G-map ${\phi}:X{\rightarrow}X$, we define and characterize the Reidemeister number $R_G({\phi})$ of ${\phi}$. Also, we prove that $R_G({\phi})$ is a G-homotopy invariance and we obtain a lower bound of $R_G({\phi})$.

Keywords