Definition
- 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
It is a property for a subspace of a topological space.
Reference
- Encyclopedia of general topology, Edited by Klaas Pieter Hart, Jun-iti Nagata and Jerry E. Vaughan. Elsevier Science Publishers, B.V., Amsterdam, 2004.