relatively pseudocompact

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.