3 citations · 3 across the 4 of their papers we have counts for
4 papers
The -metrization of functors with finite supports
T. Banakh, V. Brydun, L. Karchevska +1
Let and be a functor with finite supports in the category of sets. Given a non-empty metric space , we intr…
There is no monad based on Hartman-Mycielski functor
Lesya Karchevska, Iryna Peregnyak, Taras Radul
We show that there is no monad based on the normal functor introduced earlier by Radul which is a certain functorial compactification of the Hartman-Mycielski construction …
On Extension Of Functors
Lesya Karchevska, Taras Radul
A.Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the cat…
Trivial fibrations of the multiplication maps for monads generated by the functors of order-preserving and positively homogeneous functionals
Lesya Karchevska
In this paper we further investigate the geometry of monads of order-preserving functionals and of positively homogeneous functionals. We prove that for any compactum X with $w(X)…