Word.ws English Dictionary

predimension

predimension noun: the result of a function on a group of sets, where the function satisfies three conditions: (1) it returns 0 for the empty set; (2) if one set is contained in another set, the function always returns a value that is less than or equal to the result for the containing set; (3) the result for the union of two sets is less than or equal to the sum of the results for each of those sets individually minus the result for their intersection.

Noun

predimension (plural predimensions)

  1. The result of a function on a group of sets, where the function satisfies three conditions: (1) it returns 0 for the empty set; (2) if one set is contained in another set, the function always returns a value that is less than or equal to the result for the containing set; (3) the result for the union of two sets is less than or equal to the sum of the results for each of those sets individually minus the result for their intersection.
    • We also demonstrate how Hrushovski's predimension arises in this general context as a natural geometric notion and use it as one of our main tools..2016, Boris Zilber, “Analytic Zariski structures and non-elementary categoricity”, in arXiv

Forms of predimension

pluralpredimensions

Origin of predimension

From pre- + dimension.

Questions about predimension

What does predimension mean?
Predimension means the result of a function on a group of sets, where the function satisfies three conditions: (1) it returns 0 for the empty set; (2) if one set is contained in another set, the function always returns a value that is less than or equal to the result for the containing set; (3) the result for the union of two sets is less than or equal to the sum of the results for each of those sets individually minus the result for their intersection.
What part of speech is predimension?
Predimension is a noun.
What is the plural of predimension?
The plural of predimension is predimensions.

Words near predimension in the dictionary

  1. predilutionally
  2. predilutions
  3. prediluvial
  4. prediluvian
  5. prediluvians
  6. predimension
  7. predimensions
  8. predimerize
  9. predimerized
  10. preding
  11. predinner

Source and license

Adapted from Wiktionary: predimension (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.

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