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集值映射空间中的图象拓扑(I) 被引量:1

GRAPH TOPOLOGIES FOR MULTIFUNCTION SPACES(Ⅰ)
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摘要 In this paper, four graphic topologies were introdu ced into set occurrence mapping space and the relationship between them was given. The equivalent relationship between two of the topologies is proved in point compact and continuous mapping space. In this paper, four graphic topologies were introdu ced into set occurrence mapping space and the relationship between them was given. The equivalent relationship between two of the topologies is proved in point compact and continuous mapping space.
作者 文斌 宋丽艳
出处 《佳木斯大学学报(自然科学版)》 CAS 2003年第3期275-276,314,共3页 Journal of Jiamusi University:Natural Science Edition
关键词 集值映射 图象拓扑 点紧致连续映射空间 子基 graphic topology subbasis set occurrence mapping
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  • 1Poppe, W. J,. Quasi-uniformigation of topologycal space[J]. Math. Ann. 1962. Vo1,147: 316-317.
  • 2Naimpally.S.A. Graph topologies for function spaces[J]. Trans. Ann. Math. Soc, 1966. 123, 267-272.
  • 3Naimpally,S. A, and Pareek,C. M. Graph topologies for function spaces I[J]. Comment. Math. Proce. 1970. Mat,13: 221-231.
  • 4Kuratowski, K.. A general approach to the theory of set valued mappings [J]. General Topology and Its Relations to mordern Analysis. (1971): 271-280.

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