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Radon-Nikodym compact

Last-modified: 2010-07-23 (金) 21:36:50

Definition Edit

A compact Hausdorff space X is said to be Radon-Nikodym compact if there exists a lower semicontinuous metric with the following property: For every nonempty subset A of X and every positive number ε, there exists an open set U which meets A with radius less than ε.

Remark Edit

Reference Edit

Klaas Pieter Hart, Jun-iti Nagata and Jerry E. Vaughan, Encyclopedia of general topology, Elsevier Science Publishers, B.V., Amsterdam, 2004.