Rodríguez Sanjurjo, José Manuel2023-06-212023-06-211986-070166-864110.1016/0166-8641(86)90039-8https://hdl.handle.net/20.500.14352/64692The 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/0166864186900398http://www.sciencedirect.com/restricted access514515.1HyperspacesSpecial maps on topological spaces (openclosedperfectetc.)Compact (locally compact) absolute neighborhood retractsShape theoryGeometríaTopología1204 Geometría1210 Topología