The three following examples are given: a bornological space containing a subspace of infinite countable codimension which is not quasi-barrelled, a quasi-barrelled -space containing a subspace of infinite countable codimension which is not -space, and bornological barrelled space which is not inductive limit of Baire space.
On y présente trois exemples : un espace bornologique qui contient un sous-espace de codimension infinie dénombrable non infratonnelé, un -espace infratonnelé qui contient un sous-espace de codimension infinie dénombrable qui n’est pas un -espace et un espace tonnelé bornologique qui n’est pas limite inductive d’espaces de Baire.
@article{AIF_1972__22_2_21_0, author = {Valdivia, Manuel}, title = {Some examples on quasi-barrelled spaces}, journal = {Annales de l'Institut Fourier}, pages = {21--26}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {22}, number = {2}, year = {1972}, doi = {10.5802/aif.409}, mrnumber = {49 #1053}, zbl = {0226.46005}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.409/} }
TY - JOUR AU - Valdivia, Manuel TI - Some examples on quasi-barrelled spaces JO - Annales de l'Institut Fourier PY - 1972 SP - 21 EP - 26 VL - 22 IS - 2 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.409/ DO - 10.5802/aif.409 LA - en ID - AIF_1972__22_2_21_0 ER -
Valdivia, Manuel. Some examples on quasi-barrelled spaces. Annales de l'Institut Fourier, Volume 22 (1972) no. 2, pp. 21-26. doi : 10.5802/aif.409. http://archive.numdam.org/articles/10.5802/aif.409/
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