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Complete Metric Absolute Neighborhood Retracts by Wiesław Kubiś is a Mathematics article available to read on EtoBox.
What is Complete Metric Absolute Neighborhood Retracts about?
We characterize complete metric absolute (neighborhood) retracts in terms of existence of certain maps of CW-polytopes. Using our result, we prove that a compact metric space with a convex and locally convex simplicial structure is an AR. This answers a question of Kulpa from [Topology Proc. 22 (1997) 211-235]. As another application, we prove that the hyperspace of closed subsets of a separable Banach space endowed with the Wijsman topology is an absolute retract.
Who reads Complete Metric Absolute Neighborhood Retracts?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Wiesław Kubiś
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0166-8641)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)