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Sequences of 0's and 1's: sequence spaces with the separable Hahn property

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Zeltser M.

Studia Mathematica

2007

tom 182

nr 1

87-98

In [3] it was discovered that one of the main results in [1] (Theorem 5.2), applied to three spaces, contains a nontrivial gap in the argument, but neither the gap was closed nor a counterexample was provided. In [4] the authors verified that all three above mentioned applications of the theorem are true and stated a problem concerning the topological structure of one of these three spaces. In this paper we answer the problem and give a counterexample to the theorem in doubt. Also we establish a new way of constructing separable Hahn spaces.

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1 Studia Mathematica

1 Zeltser M.

1 2007

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Sequences of 0's and 1's: sequence spaces with the separable Hahn property