scott-open

Fetched 2026-10-26 (cache).

Datamuse reports no synonyms or antonyms for this word.

Adjective

1. {{lb|en|math}} Of a [[subset]] ''O'' of a [[partially ordered]] [[set]] ''P'': such that it is an [[upper set]] and is [[inaccessible]] by directed joins, i.e. all directed sets ''D'' with [[supremum]] in ''O'' have non-empty [[intersection]] with ''O''.

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.