INVESTIGADORES
BARMAK jonathan Ariel
artículos
Título:
The fixed point property in every weak homotopy type
Autor/es:
JONATHAN ARIEL BARMAK
Revista:
AMERICAN JOURNAL OF MATHEMATICS
Editorial:
JOHNS HOPKINS UNIV PRESS
Referencias:
Año: 2016 vol. 138 p. 1425 - 1438
ISSN:
0002-9327
Resumen:
We prove that for any connected compact CW-complex K there exists aspace X weak homotopy equivalent to K which has the fixed point property, that is,every continuous map X -> X has a fixed point. The result is known to be false if werequire X to be a polyhedron. The space X we construct is a non-Hausdorff space withfinitely many points.
