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- W1963710802 abstract "For any positive integer the author constructs a continuous mapping of the -dimensional Menger compactum onto itself that is universal in the class of mappings between -dimensional compacta, i.e., for any continuous mapping between -dimensional compacta there exist imbeddings of and in such that the restriction of to is homeomorphic to . The mapping plays the same role in the theory of Menger -dimensional manifolds as the projection plays in the theory of -manifolds ( is the Hilbert cube). It can be used to carry over the classical theorems in the theory of -manifolds to the theory of -manifolds:Stabilization Theorem. For any -manifold and any imbedding of in the space is homeomorphic to .Triangulation Theorem. For any -manifold there exists an -dimensional polyhedron such that the space is homeomorphic to for every imbedding of in .Bibliography: 20 titles." @default.
- W1963710802 created "2016-06-24" @default.
- W1963710802 creator A5084737845 @default.
- W1963710802 date "1987-02-28" @default.
- W1963710802 modified "2023-10-17" @default.
- W1963710802 title "UNIVERSAL MENGER COMPACTA AND UNIVERSAL MAPPINGS" @default.
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- W1963710802 doi "https://doi.org/10.1070/sm1987v057n01abeh003059" @default.
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