Geodesic
Diametral dimensions of Fréchet spaces
Loïc Demeulenaere 1   ; Leonhard Frerick 2   ; Jochen Wengenroth 2
1 Département de Mathématiques, B37 Université de Liège 4000 Liège, Belgium
2 FB IV – Mathematik Universität Trier 54286 Trier, Germany
Studia Mathematica, Tome 234 (2016) no. 3, pp. 271-280 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The diametral dimension is an important topological invariant in the category of Fréchet spaces which has been used, e.g., to distinguish types of Stein manifolds. We introduce variants of the classical definition in order to solve an old conjecture of Bessaga, Mityagin, Pełczyński, and Rolewicz at least for nuclear Fréchet spaces. Moreover, we clarify the relation between an invariant recently introduced by Terzioğlu and the by now classical condition $(\overline \Omega )$ of Vogt and Wagner.
DOI : 10.4064/sm8597-6-2016
Mots-clés : diametral dimension important topological invariant category chet spaces which has distinguish types stein manifolds introduce variants classical definition order solve old conjecture bessaga mityagin czy ski rolewicz least nuclear chet spaces moreover clarify relation between invariant recently introduced terzio classical condition overline omega vogt wagner

Loïc Demeulenaere  1   ; Leonhard Frerick  2   ; Jochen Wengenroth  2

1 Département de Mathématiques, B37 Université de Liège 4000 Liège, Belgium
2 FB IV – Mathematik Universität Trier 54286 Trier, Germany 
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Loïc Demeulenaere; Leonhard Frerick; Jochen Wengenroth. Diametral dimensions of Fréchet spaces. Studia Mathematica, Tome 234 (2016) no. 3, pp. 271-280. doi: 10.4064/sm8597-6-2016

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