RT Journal Article
T1 Shape morphisms and components of movable compacta
A1 Rodríguez Sanjurjo, José Manuel
AB The author treats shape properties which movable compacta and their nonmovable components inherit from their movable components. First he shows that shape morphisms of movable compacta are completely determined by their restrictions to movable components. Then he gives a necessary and sufficient condition for a shape morphism α  between movable compacta X  and Y  to be an isomorphism. Such a condition is given in terms of the morphisms induced by α  between the components of X  and Y . This result improves a result of Dydak and Segal in the case of movable compacta. Finally, he shows that the shape category of a movable compactum is completely determined by the shape category of its movable components. The shape category is a numerical shape invariant introduced by Borsuk which in the case of polyhedra agrees with the Lyusternik-Shnirelʹman category
PB Cambridge Univ Press
SN 0305-0041
YR 1988
FD 1988-05
LK https://hdl.handle.net/20.500.14352/57714
UL https://hdl.handle.net/20.500.14352/57714
LA eng
DS Docta Complutense
RD 18 abr 2025