Laguna, V. F.Rodríguez Sanjurjo, José Manuel2023-06-212023-06-2119840166-864110.1016/0166-8641(84)90041-5https://hdl.handle.net/20.500.14352/64694We introduce the notion of internal fundamental sequence and prove that any shape morphism from an arbitrary compactum X to an internally movable compactum Y is induced by an internal fundamental sequence. We use this special kind of fundamental sequences to give characterizations and some properties of AANRc-sets and AANR,-sets. The paper ends with a section devoted to internal FANR’s.engjournal articlehttp://www.sciencedirect.com/science/article/pii/0166864184900415http://www.sciencedirect.com/restricted access514515.1Shape theoryGeometríaTopología1204 Geometría1210 Topología