Quasi-equivalence of compacta and spaces of components

  1. Rodríguez Sanjurjo, José Manuel
Revista:
Collectanea mathematica

ISSN: 0010-0757

Año de publicación: 1980

Volumen: 31

Fascículo: 1

Páginas: 3-10

Tipo: Artículo

Otras publicaciones en: Collectanea mathematica

Resumen

Let X, Y be two compacta with Sh(X) = Sh (Y). Then, the spaces of components of X, Y are homeomorphic. This does not happen, in general, when X, Y are quasi-equivalent. In this paper we give a sufficient condition for the existence of a homeomorphism between the spaces of components of two quasi-equivalent compacta X, Y which maps each component in a quasi-equivalent component.