Extending monomorphic functors with finite supports

Taras Banakh, Viktoriia Brydun


We prove that each monomorphic functor with finite supports F:CompComp has a unique extension F:TYCHTYCH to the category TYCH of Tychonoff spaces and their arbitrary maps such that F|Tych=Fβ  where Fβ:TychTych is the extension of the functor F to the category Tych of Tychonoff spaces and their continuous maps, constructed by Chigogidze.

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