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Pullback vs Retract - What's the difference?

pullback | retract |

As a noun pullback

is the act or result of pulling back; a withdrawal.

As a verb retract is

to pull back inside.

pullback

Noun

(en noun)
  • The act or result of pulling back; a withdrawal.
  • (film) The act of drawing a camera back to broaden the visible scene.
  • That which holds back, or causes to recede; a drawback; a hindrance.
  • (architecture) The iron hook fixed to a casement to pull it shut, or to hold it partly open at a fixed point.
  • (finance) A reduction in the price of a financial instrument after reaching a peak
  • (category theory) Given a pair of morphisms f:X\rightarrow Z and g: Y\rightarrow Z with a common codomain, Z'', their pullback is a pair of morphisms p_1:P\rightarrow X and p_2:P\rightarrow Y as well as their common domain, ''P'', such that the equation f\circ p_1 = g\circ p_2 is satisfied, and for which there is the ''universal property'' that for any other object ''Q for which there are also morphisms q_1: Q\rightarrow X, q_2: Q\rightarrow Y; there is a unique morphism u: Q\rightarrow P such that p_1\circ u = q_1 and p_2 \circ u = q_2.
  • Antonyms

    * (category theory) pushout (Webster 1913)

    retract

    English

    Verb

    (en verb)
  • To pull back inside.
  • An airplane retracts its wheels for flight.
  • (ambitransitive) To draw back; to draw up.
  • Muscles retract after amputation.
    A cat can retract its claws.
  • To take back or withdraw something one has said.
  • I retract all the accusations I made about the senator and sincerely hope he won't sue me.
  • * Bishop Stillingfleet
  • I would as freely have retracted this charge of idolatry as I ever made it.
  • * Granville
  • She will, and she will not; she grants, denies, / Consents, retracts , advances, and then flies.
  • To take back, as a grant or favour previously bestowed; to revoke.
  • (Woodward)

    Synonyms

    * take back * withcall * withdraw

    See also

    * unsay * unspeak