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:
“One does not realize the historical sensation as a re-experiencing, but as an understanding that is closely related to the understanding of music, or rather of the world by means of music.”
—Johan Huizinga (1872–1945)
“During our twenties...we act toward the new adulthood the way sociologists tell us new waves of immigrants acted on becoming Americans: we adopt the host culture’s values in an exaggerated and rigid fashion until we can rethink them and make them our own. Our idea of what adults are and what we’re supposed to be is composed of outdated childhood concepts brought forward.”
—Roger Gould (20th century)