On quadruple of infinite-dimensional manifolds in the space of probability measures
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By investigating the geometric and topological properties of the space P(X) of all probability
measures defined on an infinite compactum X, we identify several subspaces of P(X) that are homeomorphic
to triples and quadruples of infinite-dimensional manifolds. Furthermore, we distinguish pairs of subspaces
in the space of probability measures that are homeomorphic to pairs of infinite-dimensional manifolds.
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