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We found one dictionary that defines the word cocontinuous:

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  1. cocontinuous: Wiktionary

Definitions from Wiktionary (cocontinuous)

adjective:  (mathematics, of a functor) Commutative with small colimits; right-exact and transforming small direct sums into small direct sums.
adjective:  (organic chemistry) Blending two linear, amorphous polymers such that the phases interpenetrate.

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