A Nielsen theory for intersection numbers

• Autorzy: Christopher K. McCord
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 55N45: Products and intersections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1997
• Tom: 152
• Numer: 2
• Strony: 117-150

Daty

wydano

1997

otrzymano

1996-01-18

poprawiono

1996-05-28

Twórcy

autor

Christopher K. McCord

• Institute for Dynamics, Department of Mathematics, University of Cincinnati, P.O. Box 210025, Cincinnati, Ohio 45221-0025, U.S.A.

Bibliografia

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