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A reduction of the fundamental conjecture about locally compact ๐ด๐‘๐‘…โ€™s

A reduction of the fundamental conjecture about locally compact ๐ด๐‘๐‘…โ€™s

In this note, we show that the conjecture: <italic>the product of a locally compact ANR by the Hilbert cube is a Hilbert cube manifold</italic>, can be reduced to its compact AR case, i.e.: <italic>the product of a compact AR by the Hilbert cube is a Hilbert cube manifold</italic>.