Generalized refinable maps and images of FANR's
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1991
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Elsevier Science
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Fernández Laguna, V., Alonso Morón, M., Rodríguez Sanjurjo, J. M. «Generalized Refinable Maps and Images of FANR’s». Topology and Its Applications, vol. 40, n.o 2, julio de 1991, pp. 131-43. DOI.org (Crossref), https://doi.org/10.1016/0166-8641(91)90046-O.
Abstract
In this paper we study certain shape and homotopy properties of refinable and weakly refinable maps. In particular we give a sufficient condition for a weakly refinable map to be a homotopy domination when the codomain is an ANR. We also characterise those weakly refinable maps which preserve FANR's and using a result of Boxer we characterise the weakly refinable maps which preserve ANR's.