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Fell-拓扑的某些性质(英文)

Some Properties of the Fell Topology
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摘要 刻画了Fell -拓扑的某些性质以及Fell For a space X ,let 2 X [resp. CL(X) ] be the collection of all closed subsets [resp.non-empty closed subsets] of X .We characterize some properties of the Fell topology on 2 X [resp. CL(X) ] in terms of topological properties of X .We show also that the Fell topology and toplogical convergence are coincide if and only if X is locally compact.
作者 侯吉成
出处 《数学研究》 CSCD 2001年第1期32-42,共11页 Journal of Mathematical Study
关键词 超空间 闭子集 局部集 拓扑空间 拓扑收敛 Fell-拓扑 Hyperspace,Fell topology,topological convergence.
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参考文献5

  • 1Gerald Beer. On the Fell topology[J] 1993,Set - Valued Analysis(1):69~80
  • 2Tommy Norberg. On Vervaat’s sup vague topology[J] 1990,Arkiv f?r matematik(1):139~144
  • 3George L. O’Brien,Paul J. J. F. Torfs,Wim Vervaat. Stationary self-similar extremal processes[J] 1990,Probability Theory and Related Fields(1):97~119
  • 4Tommy Norberg. Random capacities and their distributions[J] 1986,Probability Theory and Related Fields(2):281~297
  • 5J. M. G. Fell. The structure of algebras of operator fields[J] 1961,Acta Mathematica(3-4):233~280

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