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Minimal component numbers of fixed point sets

100%

Zhao X.

Fundamenta Mathematicae

2003

tom 179

nr 1

61-68

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).

Realization of fixed point sets of relative maps

63%

Woo M., Zhao X.

Fundamenta Mathematicae

2011

tom 213

nr 2

95-113

Given a relative map f: (X,A) → (X,A) on a pair (X,A) of compact polyhedra and a closed subset Y of X, we shall give some criteria for Y to be the fixed point set of some map relatively homotopic to f.

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2 Fundamenta Mathematicae

2 Zhao X.

1 Woo M.

1 2011

1 2003

Wyniki wyszukiwania

Minimal component numbers of fixed point sets

Realization of fixed point sets of relative maps