JP Journal of Geometry and Topology
Volume 14, Issue 1, Pages 1 - 12
(August 2013)
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METRIZABILITY, MANIFOLDS AND HYPERSPACE TOPOLOGIES
Jiling Cao and Abdul Mohamad
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Abstract:
This paper investigates metrization theory of manifolds in terms of hyperspaces. We prove that perfect hyperspaces are metrizable. We show that the problem whether the first countability of hyperspaces of a manifold implies the metrizability of the manifold is independent of ZFC. |
| Keywords and phrases: Fell topology, finite topology, locally finite topology, manifold, metrizable, perfect. |
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