pseudocompactness

English

Etymology

From pseudocompact +‎ -ness or pseudo- +‎ compactness.

Pronunciation

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Noun

pseudocompactness (uncountable)

1. (mathematics) The condition of being pseudocompact
   • 2015, Oleg Gutik, Oleksandr Ravsky, “Pseudocompactness, products and topological Brandt ${\displaystyle \lambda ^{0}}$-extensions of semitopological monoids”, in arXiv‎:

     In the paper we study the preservation of pseudocompactness (resp., countable compactness, sequential compactness, ${\displaystyle \omega }$-boundedness, totally countable compactness, countable pracompactness, sequential pseudocompactness) by Tychonoff products of pseudocompact (and countably compact) to\-pological Brandt ${\displaystyle \lambda _{i}^{0}}$-extensions of semitopological monoids with zero.