Generalized refinable maps and images of FANR's



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Fernández Laguna, Víctor and Morón, Manuel A. and Rodríguez Sanjurjo, José Manuel (1991) Generalized refinable maps and images of FANR's. Topology and its Applications, 40 (2). pp. 131-143. ISSN 0166-8641

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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.

Item Type:Article
Uncontrolled Keywords:Compacta; shape; weakly refinable map; ε-continuous function; fine weakly refinable map; globally weakly refinable map; AHI map; FANR; ANR
Subjects:Sciences > Mathematics > Topology
ID Code:15664
Deposited On:18 Jun 2012 08:19
Last Modified:12 Dec 2018 15:13

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