pseudointersection

noun

A set for which the number of elements that are not in the intersection (of two infinite sets) is finite.

Scrabble 23
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Meanings

nounpseudointersection (plural pseudointersections)

plural pseudointersections

  1. mathematicsA set for which the number of elements that are not in the intersection (of two infinite sets) is finite.

    We investigate which filters on #92;omega can contain towers, that is, a modulo finite descending sequence without any pseudointersection (in #91;#92;omega#93;#92;omega).

    2016, Jörg Brendle, Barnabás Farkas, Jonathan Verner, “Towers in filters, cardinal invariants, and Luzin type families”, in arXiv

Origin

From pseudo- + intersection.

Full word history & related roots →
Cite this entry
APA

pseudointersection. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/pseudointersection

MLA

“pseudointersection.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/pseudointersection. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “pseudointersection,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/pseudointersection.

Source: pseudointersection on Wiktionary, CC BY-SA 4.0.