3 papers
math.GN2012
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 …
math.GN2010
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)…
math.GN2010
On geometric properties of the functors of positively homogenous and semiadditive functionals
Lesya Karchevs'ka
In this paper we investigate the functors of OH of positively homogenous functionals and OS of semiadditive functionals. We show that OH(X) is AR if and only if X is openly generat…