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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…