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relatively pseudocompact

Last-modified: 2010-09-18 (土) 13:56:25

Definition Edit

  • A subset F of a space X is said to be relatively pseudocompact provided that for every continuous function f:X→R, f(F) is a bounded subset of R.

Remark Edit

It is a property for a subspace of a topological space.

Reference Edit

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