RT Journal Article
T1 On weak shape equivalences
A1 Alonso Morón, Manuel
A1 Romero Ruiz Del Portal, Francisco
AB We prove that weak shape equivalences are monomorphisms in the shape category of uniformly pointed movable continua Sh(M). We use an example of Draper and Keesling to show that weak shape equivalences need not be monomorphisms in the shape category. We deduce that Sh(M) is not balanced. We give a characterization of weak dominations in the shape category of pointed continua, in the sense of Dydak (1979). We introduce the class of pointed movable triples (X,F,Y), for a shape morphism F:X --> Y, and we establish an infinite-dimensional Whitehead theorem in shape theory from which we obtain, as a corollary, that for every pointed movable pair of continua (Y,X) the embedding j: X --> Y is a shape equivalence iff it is a weak shape equivalence.
PB Elsevier Science
SN 0166-8641
YR 1999
FD 1999-04-14
LK https://hdl.handle.net/20.500.14352/57320
UL https://hdl.handle.net/20.500.14352/57320
LA eng
NO Alonso Morón, M., Romero Ruiz Del Portal, F. «On Weak Shape Equivalences». Topology and Its Applications, vol. 92, n.o 3, abril de 1999, pp. 225-36. DOI.org (Crossref), https://doi.org/10.1016/S0166-8641(97)00252-6.
NO DGICYT
DS Docta Complutense
RD 7 abr 2025