pseudocompact

English

Etymology

From pseudo- +‎ compact.

Pronunciation

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Adjective

pseudocompact (not comparable)

1. (mathematics, of a space) having a bounded image
   • 2015, Oleg Gutik, Oleksandr Ravsky, “Pseudocompactness, products and topological Brandt ${\lambda }^0$-extensions of semitopological monoids”, in arXiv‎^[1]:

     In particular we show that if $\left\{\right(B_{{\lambda }_i}^0(S_i),{\tau }_{B(S_i)}^0):i\in ℐ\}$ is a family of Hausdorff pseudocompact to\-pological Brandt ${\lambda }_i^0$-extensions of pseudocompact semitopological monoids with zero such that the Tychonoff product $\prod \{S_i:i\in ℐ\}$ is a pseudocompact space then the direct product $\prod \left\{\right(B_{{\lambda }_i}^0(S_i),{\tau }_{B(S_i)}^0):i\in ℐ\}$ endowed with the Tychonoff topology is a Hausdorff pseudocompact semitopological semigroup..

Derived terms

• pseudocompactness