Geodesic
Geometrical and topological properties of a subspace $P_f(X)$ of probability measures
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2019), pp. 28-37

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We prove that for a compact $X$ the space $P_{f}(X)$ is an absolute neighbourhood retract if and only if $X$ is an absolute neighbourhood retract. Futher, we demonstrate that a functor $P_{f}$ preserves the property of a compact to be $Q$-manifold or Hilbert cube, preserves the propetry of a map to be absolute neighbourhood retract in a class of compact, to be $Q$-manifold or Hilbetr cube (finite sum of Hilbert cube).
Keywords: propability measure, compact Hausdorff space (compact), $A(N)R$-space.
Mots-clés : retract 
@article{IVM_2019_10_a3,
     author = {A. A. Zaitov},
     title = {Geometrical and topological properties of a subspace $P_f(X)$ of probability measures},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {28--37},
     publisher = {mathdoc},
     number = {10},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_10_a3/}
}
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A. A. Zaitov. Geometrical and topological properties of a subspace $P_f(X)$ of probability measures. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2019), pp. 28-37. http://geodesic.mathdoc.fr/item/IVM_2019_10_a3/