2026-06-08T03:25:29Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/646922023-08-25T13:42:06Zcom_20.500.14352_14col_20.500.14352_15

On limits of shape maps Rodríguez Sanjurjo, José Manuel 514 515.1 Hyperspaces Special maps on topological spaces (open closed perfect etc.) Compact (locally compact) absolute neighborhood retracts Shape theory Geometría Topología 1204 Geometría 1210 Topología The notions of accessible and strongly accessible approximative maps are defined and studied. Approximative maps obtained as limits of sequences of shape equivalences are strongly accessible. It is proved that strongly accessible approximative maps induce pseudo-isomorphisms in the sense of H. Kato. It is also seen that, under the assumption of calmness, shape morphisms induced by accessible approximative maps are left invertible. As an application some results of L. Boxer concerning approximately invertible maps are generalized. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-21T02:02:38Z 2023-06-21T02:02:38Z 1986-07 journal article https://hdl.handle.net/20.500.14352/64692 0166-8641 10.1016/0166-8641(86)90039-8 eng restricted access application/pdf Elsevier Science