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An ordered framework for partial multivalued functors (1511.00746v1)

Published 3 Nov 2015 in math.CT

Abstract: The category Rel of sets and relations intimately ties the notions of function, partial multivalued function, and direct image under a function through the description of Rel as the Kleisli category of the covariant power set functor on Set. We present a suitable framework to obtain a similar relationship between the concepts of functor, partial multivalued functor, and the direct image under a functor.

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