Word.ws English Dictionary

underlying functor

underlying functor noun: a forgetful functor.

Noun

underlying functor (plural underlying functors)

  1. a forgetful functor
    • 3.1.10 Example If you forget [that] you can compose arrows in a category and you forget which arrows are the identities, then you have remembered only that the category is a graph. This gives an underlying functor U#58;#92;mathbf#123;Cat#125;#92;rightarrow#92;mathbf#123;Grf#125;, since every...1995, Michael Barr with Charles Wells, Category Theory for Computing Science, 2nd edition, University Press, Cambridge, Great Britain: Prentice Hall, §3.1.10, page 57

Forms of underlying functor

pluralunderlying functors

Questions about underlying functor

What does underlying functor mean?
Underlying functor means a forgetful functor.
What part of speech is underlying functor?
Underlying functor is a noun.
What is the plural of underlying functor?
The plural of underlying functor is underlying functors.

Words near underlying functor in the dictionary

  1. underlye
  2. underlyes
  3. underlying
  4. underlying form
  5. underlying forms
  6. underlying functor
  7. underlying functors
  8. underlying set
  9. underlying sets
  10. underlyingly
  11. underlyingness

Source and license

Adapted from Wiktionary: underlying functor (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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