Abstract
Let H ( A ) H(A) be the Dowker’s generalized Hilbert space with weight | A | |A| , where A A is any infinite set, and H ∞ ( A ) H\infty (A) its subspace consisting of all points which have only finitely many rational coordinates distinct from zero. Using a result of E. Pol, it will be shown that H ∞ ( A ) H\infty (A) is a universal space for countable dimensional metric spaces with weight ≤ | A | \leq |A| .
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