대한수학회지 (Journal of the Korean Mathematical Society)
- 제32권2호
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- Pages.171-181
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
A relative nielsen number in coincidence theory
- Jang, Chan-Gyu (Department of Mathematics Chonbuk National University ) ;
- Lee, Sik (Department of Mathematics Chonbuk National University )
- 발행 : 1995.05.01
초록
Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps $f,g: X \longrightarrow Y$. For this purpose the so-called Nielsen number N(f,g) is introduced, which is a lower bound for the number of coincidences ([1]). The relative Nielsen number N(f : X,A) in the fixed point theory is introduced in [3], which is a lower bound for the number of fixed points for all maps in the relative homotopy class of f:(X,A) $\longrightarrow$ (X,A), and its estimation is given in [5].