Word.ws English Dictionary

Scott-open

Scott-open adjective: 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.

Adjective

Scott-open (not comparable)

  1. 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.

Origin of Scott-open

Named after the mathematician Dana Scott.

Questions about Scott-open

What does Scott-open mean?
Scott-open means 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.
What part of speech is Scott-open?
Scott-open is an adjective.

Words near Scott-open in the dictionary

  1. Scott topology
  2. Scott's Green
  3. Scott's spleenwort
  4. Scott's trick
  5. Scott-continuous
  6. Scott-open
  7. Scotten
  8. Scotter
  9. Scotti
  10. Scottian
  11. Scottic

Source and license

Adapted from Wiktionary: Scott-open (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

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