RT Journal Article
T1 An intrinsic description of shape
A1 Rodríguez Sanjurjo, José Manuel
AB We give in this paper a description of the shape category of compacta in terms of multivalued maps. We introduce the notion of a multi-net and prove that the shape category of compacta is isomorphic to the category HN whose objects are metric compacta and whose morphisms are homotopy classes of multi-nets. This description is intrinsic in the sense that it does not make use of external elements such as ANR-expansions or embeddings in appropriate AR-spaces. We present many applications of this new formulation of shape.
PB American Mathematical Society
SN 0002-9947
YR 1992
FD 1992-02
LK https://hdl.handle.net/20.500.14352/57695
UL https://hdl.handle.net/20.500.14352/57695
LA eng
DS Docta Complutense
RD 17 abr 2025