Geodesic
A Nielsen theory for intersection numbers
Fundamenta Mathematicae, Tome 152 (1997) no. 2, pp. 117-150 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Nielsen theory, originally developed as a homotopy-theoretic approach to fixed point theory, has been translated and extended to various other problems, such as the study of periodic points, coincidence points and roots. In this paper, the techniques of Nielsen theory are applied to the study of intersections of maps. A Nielsen-type number, the Nielsen intersection number NI(f,g), is introduced, and shown to have many of the properties analogous to those of the Nielsen fixed point number. In particular, NI(f,g) gives a lower bound for the number of points of intersection for all maps homotopic to f and g.
DOI : 10.4064/fm-152-2-117-150

Christopher K. McCord 1

1 
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Christopher K. McCord. A Nielsen theory for intersection numbers. Fundamenta Mathematicae, Tome 152 (1997) no. 2, pp. 117-150. doi: 10.4064/fm-152-2-117-150

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