On the graph convergence of sequences of functions (Q2520024)

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On the graph convergence of sequences of functions
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    On the graph convergence of sequences of functions (English)
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    28 January 2009
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    The author introduces the notion of graph convergence of sequences of functions and studies the connection between the graph convergence and pointwise convergence. Furthermore, the uniform and graph convergences are compared, and the graph limits of sequences of continuous (quasi-continuous, cliquish, almost continuous or Darboux) functions are investigated.
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    graph convergence
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    uniform and pointwise convergence
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    continuity
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    quasi-continuity
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    cliquishness
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    almost continuity
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    Darboux property
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