Lawvere's fixed point theorem

Mar 05, 2014 10:30

http://ncatlab.org/nlab/show/Lawvere%27s+fixed+point+theorem
if there is an epimorphism from some object A to the exponential object/internal hom from A into some other object B
A⟶B^A
then every endomorphism f:B→B of B has a fixed point.

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beroal July 15 2014, 16:18:13 UTC
Там не эпимофризм, а что-то типа ретракции. Оно выдаёт морфизмы.

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