Geodesic
Open Mapping Theorem for Spaces of Weakly Additive Homogeneous Functionals
Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 683-688 Cet article a éte moissonné depuis la source Math-Net.Ru

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We establish that if $X$ and $Y$ are metric compacta and $f\colon X\to Y$ is a continuous surjective mapping, then the openness of the mapping $OH(f)\colon OH(X)\to OH(Y)$ of spaces of weakly additive homogeneous functionals is equivalent to the openness of $f$.
Keywords: open mapping theorem, weakly additive homogeneous functional, probability measure, topology of pointwise convergence.
Mots-clés : metric compactum 
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     author = {A. A. Zaitov},
     title = {Open {Mapping} {Theorem} for {Spaces} of {Weakly} {Additive} {Homogeneous} {Functionals}},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a4/}
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A. A. Zaitov. Open Mapping Theorem for Spaces of Weakly Additive Homogeneous Functionals. Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 683-688. http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a4/

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