All hypertopologies are hit-and-miss

All hypertopologies are hit-and-miss

We solve a long standing problem by showing that all known hypertopologies are hit-and-miss. Our solution is not merely of theoretical importance. This representation is useful in the study of comparison of the Hausdorff-Bourbaki or H-B uniform topologies and the Wijsman topologies among themselves...

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Bibliographic Details
Main Author: Somshekhar Naimpally
Format: Article
Language:English
Published: Universitat Politècnica de València 2002-04-01
Series:Applied General Topology
Subjects:
Hypertopology
Vietoris topology
Hausdorff metric
Hausdorff-Bourbaki uniformity
Uniformity
Proximal topology
Hit-and-miss topology
Locally finite
Wijsman topology
Proximal ball topology
Ball topology
Far-miss topology
Bounded Vietoris topology
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/2111

Internet

http://polipapers.upv.es/index.php/AGT/article/view/2111

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