Fernández Laguna, Víctor and Alonso Morón, Manuel 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
Official URL: http://www.sciencedirect.com/science/article/pii/016686419190046O
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.
| 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 10:19 |
| Last Modified: | 18 Jun 2012 10:19 |
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