Geodesic
Sequences of 0's and 1's: sequence spaces with the separable Hahn property
Maria Zeltser1
1 Matemaatika-loodusteaduskond Tallinna Ülikool Narva mnt. 25 EE 10120 Tallinn, Estonia
Studia Mathematica, Tome 182 (2007) no. 1, pp. 87-98

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm182-1-5
Keywords: discovered main results theorem applied three spaces contains nontrivial gap argument neither gap closed nor counterexample provided authors verified three above mentioned applications theorem stated problem concerning topological structure these three spaces paper answer problem counterexample theorem doubt establish constructing separable hahn spaces

Maria Zeltser 1

1 Matemaatika-loodusteaduskond Tallinna Ülikool Narva mnt. 25 EE 10120 Tallinn, Estonia 
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Maria Zeltser. Sequences of 0's and 1's: sequence spaces
with the separable Hahn property. Studia Mathematica, Tome 182 (2007) no. 1, pp. 87-98. doi: 10.4064/sm182-1-5

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