Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A RELATIVE REIDEMEISTER ORBIT NUMBER

  • Published : 2006.01.01
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Abstract

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. In this paper, extending Cardona and Wong's work on relative Reidemeister numbers, we show that the Reidemeister orbit numbers can be used to calculate the relative essential orbit numbers. We also apply the relative Reidemeister orbit number to study periodic orbits of fibre preserving maps.

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References

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  1. A NIELSEN TYPE NUMBER OF FIBRE PRESERVING MAPS vol.28, pp.2, 2013, https://doi.org/10.4134/CKMS.2013.28.2.361