Minimal component numbers of fixed point sets

Xuezhi Zhao. "Minimal component numbers of fixed point sets." Fundamenta Mathematicae 179.1 (2003): 61-68. <http://eudml.org/doc/282830>.

@article{XuezhiZhao2003,
abstract = {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).},
author = {Xuezhi Zhao},
journal = {Fundamenta Mathematicae},
keywords = {Nielsen number; number of components; by-passed; lower bound},
language = {eng},
number = {1},
pages = {61-68},
title = {Minimal component numbers of fixed point sets},
url = {http://eudml.org/doc/282830},
volume = {179},
year = {2003},
}

TY - JOUR
AU - Xuezhi Zhao
TI - Minimal component numbers of fixed point sets
JO - Fundamenta Mathematicae
PY - 2003
VL - 179
IS - 1
SP - 61
EP - 68
AB - 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).
LA - eng
KW - Nielsen number; number of components; by-passed; lower bound
UR - http://eudml.org/doc/282830
ER -