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1 results

  • Multifunctions and Inverse Cluster Sets

  • James E. Joseph
  • Journal:
    Canadian Mathematical Bulletin / Volume 23 / Issue 2 / 01 June 1980
    Published online by Cambridge University Press:
    20 November 2018, pp. 161-171
    Print publication:
    01 June 1980
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  • In this paper the notion of inverse cluster set, which was recently introduced and studied for functions by T. R. Hamlett and P. E. Long (Proc. Amer. Math. Soc, 53 (1975), 470-476), is extended to and investigated for multifunctions. We generalize the notion of inverse cluster set, extend to multifunctions and generalize some known results for inverse cluster sets of functions and offer some new results. In the latter sections, compactness generalizations are characterized in terms of inverse cluster sets and some results on connected and conectivity functions are extended to multifunctions.