Geodesic
Geometric properties of the location of subspaces of the space of probability measures
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and topology, Tome 197 (2021), pp. 12-27

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For pairs of subspaces of the space of probability measures defined in an infinite compact set $X$, we examine various geometric and topological properties such as everywhere density, convexity, boundedness, homotopy density, negligibility, and homeomorphism. Also, we establish conditions under which convex, everywhere dense subspaces of the space of probability measures $P(X)$ are boundary sets.
Keywords: probability measure, homotopically dense subset, homotopically negligible set. 
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     author = {Sh. A. Ayupov and T. F. Zhuraev},
     title = {Geometric properties of the location of subspaces of the space of probability measures},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {12--27},
     publisher = {mathdoc},
     volume = {197},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_197_a1/}
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Sh. A. Ayupov; T. F. Zhuraev. Geometric properties of the location of subspaces of the space of probability measures. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and topology, Tome 197 (2021), pp. 12-27. http://geodesic.mathdoc.fr/item/INTO_2021_197_a1/