A Note on the Topology Associated with a Local Convex Space
Stojan Radenović (1986)
Publications de l'Institut Mathématique
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Stojan Radenović (1986)
Publications de l'Institut Mathématique
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W. Roelke (1971)
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”.
J. Kakol, W. Sliwa, M. Wójtowicz (1994)
Collectanea Mathematica
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Baltasar Rodríguez Salinas (1995)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Bella Tsirulnikov (1981)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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S. Radenović (1984)
Matematički Vesnik
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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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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.