Minimal component numbers of fixed point sets

• Autorzy: Xuezhi Zhao
• Języki publikacji: EN

Abstrakty

EN

Let f: (X,A) → (X,A) be a relative map of a pair of compact polyhedra. We introduce a new relative homotopy invariant $N^{C}(f;X,A)$, which is a lower bound for the component numbers of fixed point sets of the self-maps in the relative homotopy class of f. Some properties of $N^{C}(f;X,A)$ are given, which are very similar to those of the relative Nielsen number N(f;X,A).

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 54H25: Fixed-point and coincidence theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 179
• Numer: 1
• Strony: 61-68

Daty

wydano

2003

Twórcy

autor

Xuezhi Zhao

• Department of Mathematics, Capital Normal University, Beijing 100037, P.R. China

Identyfikatory

DOI

10.4064/fm179-1-5