Kuratowski Convergence - Related Concepts

Related Concepts

For metric spaces X we have the following:

  • Kuratowski convergence coincides with convergence in Fell topology.
  • Kuratowski convergence is weaker than convergence in Vietoris topology.
  • Kuratowski convergence is weaker than convergence in Hausdorff metric.
  • For compact metric spaces X, Kuratowski convergence coincides with both convergence in Hausdorff metric and Vietoris topology.

Read more about this topic:  Kuratowski Convergence

Famous quotes containing the words related and/or concepts:

    The content of a thought depends on its external relations; on the way that the thought is related to the world, not on the way that it is related to other thoughts.
    Jerry Alan Fodor (b. 1935)

    Germany collapsed as a result of having engaged in a struggle for empire with the concepts of provincial politics.
    Albert Camus (1913–1960)