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Displaying similar documents to “Open mapping theorems for capacities”

On projectively quotient functors

T. F. Zhuraev (2001)

Commentationes Mathematicae Universitatis Carolinae

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We introduce notions of projectively quotient, open, and closed functors. We give sufficient conditions for a functor to be projectively quotient. In particular, any finitary normal functor is projectively quotient. We prove that the sufficient conditions obtained are necessary for an arbitrary subfunctor of the functor 𝒫 of probability measures. At the same time, any “good” functor is neither projectively open nor projectively closed.