Barreled spaces of class n and of class X.
J.C. Ferrando, M. López-Pellicer (1989)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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J.C. Ferrando, M. López-Pellicer (1989)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Valdivia, M. (1981)
Portugaliae mathematica
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J. Kakol, W. Sliwa, M. Wójtowicz (1994)
Collectanea Mathematica
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Manuel Valdivia (1972)
Annales de l'institut Fourier
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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.
Stojan Radenović (1986)
Publications de l'Institut Mathématique
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Christopher E. Stuart (1996)
Collectanea Mathematica
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Manuel Valdivia (1972)
Annales de l'institut Fourier
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If is the topological product of a non-countable family of barrelled spaces of non-nulle dimension, there exists an infinite number of non-bornological barrelled subspaces of . The same result is obtained replacing “barrelled” by “quasi-barrelled”.
Baltasar Rodríguez Salinas (1995)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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