Irreducible representations of metrizable spaces and strongly countable-dimensional spaces
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چکیده
We generalize Freudenthal’s theory of irreducible representations of metrizable compacta by inverse sequences of compact polyhedra to the class of all metrizable spaces. Our representations consist of inverse sequences of completely metrizable polyhedra which are ANR’s. They are extendable: any such representation of a closed subspace of a given metrizable space extends to another such of the entire space. We use our techniques to characterize strongly countable-dimensional metrizable spaces.
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تاریخ انتشار 2007