Barrelled countable enlargements and the bounding cardinal

Journal of the London Mathematical Society

Volumn 53, Issue 1, 1996, Pages 158-166

  Saxon, S A ^a   Sanchez Ruiz L M ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030074558     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/jlms/53.1.158     Document Type: Article

References (19)

1. J. BONET and P. PÉREZ CARRERAS, ' Remarks on the stability of barrelled-type topologies'. Bull. Soc. Roy. Sci. Liège 52 (1983) 313-318.
2. E. K. VAN DOUWEN, 'The integers and topology', Handbook of set-theoretic topology (eds. K. Kunen and J. E. Vaughan; North-Holland. Amsterdam, 1984) 111-168.
3. B. JOSEFSON, 'Weak sequential convergence in the dual of a Banach space does not imply norm convergence', Ark. Mat. 13 (1975) 78-89.
4. M. KATEKOV, 'Remarks on characters and pseudocharacters', Comment. Math. Univ. Carolin. 1 (1960) 20-25.
5. A. NISSENZWEIG, 'W* sequential convergence', Israel J. Math. 22 (1975) 266-272.
6. P. PÉREZ CARRERAS and J. BONET, Barrelled locally convex spaces. North-Holland Mathematics Studies 131 (North-Holland, Amsterdam. 1987).
7. W. J. ROBERTSON, 'On properly separable quotients of strict (LF) spaces'. J. Austral. Math. Soc. Ser. A 47 (1989) 307-312.
8. W. J. ROBERTSON, I. TWEDDLE AND F. E. YEOMANS, 'On the stability of barrelled topologies III'. Bull. Austral. Math. Soc. 22 (1980) 99-112.
9. W. J. ROBERTSON and F. E. YEOMANS, 'On the stability of barrelled topologies I'. Bull. Austral. Math. Soc. 20 (1979) 385-395.
10. F. ROTHBERGER, 'Sur un ensemble toujours de première catégorie qui est dépourvu de la propriété λ', Fund. Math. 32 (1939) 294-300.
11. S.A.SAXON and M. LEVIN, 'Every countable-codimensional subspace of a barrelled space is barrelled'. Proc. Amer. Math. Soc. 29 (1971) 91-96.
12. S. A. SAXON and W. J. ROBERTSON, 'Dense barrelled subspaces of uncountable codimension'. Proc. Amer. Math. Soc. 107 (1989) 1021-1029.
13. S. A. SAXON and L. M. SÁNCHEZ Ruiz, 'Optimal cardinals for metrizable barrelled spaces'. J. London Math. Soc. (2) 51 (1995) 137-147.
14. S.A.SAXON and L. M. SÁNCHEZ Ruiz, 'Barrelled countable enlargements and the dominating cardinal', preprint.
15. S. A. SAXON and A. WILANSKY, 'The equivalence of some Banach space problems', Colloq. Math. 37 (1977) 217-226.
16. I. TWEDDLE, 'Barrelled spaces whose bounded sets have at most countable dimension'. J. London Math. Soc. (2) 29 (1984) 276-282.
17. I. TWEDDLE and F. E. YEOMANS, 'On the stability of barrelled topologies II'. Glasgow Math. J. 21 (1980) 91-95.
18. M. VALDIVIA, 'Absolutely convex sets in barrelled spaces', Ann. Inst. Fourier (Grenoble) 21 (1971) 3-13.
19. M. VALDIMA, 'A property of Fréchet spaces', Functional Analysis, Holomorphy and Approximation Theory II. Proc. Semin. Rio de Janeiro 1981. North-Holland Mathematics Studies 86 (ed. G. I. Zapata; North-Holland. Amsterdam, 1984) 469-477.