Barrelled countable enlargements and the dominating cardinal

Journal of Mathematical Analysis and Applications

Volumn 203, Issue 3, 1996, Pages 677-685

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

^a UNIVERSITY OF FLORIDA   (United States)

^b UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030295727     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0405     Document Type: Article

References (12)

1. 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. 2. E. K. van Douwen, "The integers and topology," in "Handbook of Set-Theoretic Topology" (K. Kunen and J. E. Vaughan, Eds.), pp. 111-168, North-Holland, Amsterdam, 1984.
3. 3. M. Katetov, Remarks on characters and pseudocharacters, Comm. Math. Univ. Car. 1, No. 1 (1960), 20-25.
4. 4. P. Pérez Carreras and J. Bonet, "Barrelled Locally Convex Spaces," Math. Studies, Vol. 131, North-Holland, Amsterdam, 1987.
5. 5. W. J. Robertson, I. Tweddle, and F. E. Yeomans, On the stability of barrelled topologies, III, Bull. Austral. Math. Soc. 22 (1980), 99-112.
6. 6. W. J. Robertson and F. E. Yeomans, On the stability of barrelled topologies, I, Bull. Austral. Math. Soc. 20 (1979), 385-395.
7. 7. F. Rothberger, Sur un ensemble toujours de premiere catégorie qui est dépourvu de la propriété λ, Fund. Math. 32 (1939), 294-300.
8. 8. S. A. Saxon and W. J. Robertson, Dense barrelled subspaces of uncountable codimension, Proc. Amer. Math. Soc. 107, No. 4 (1989), 1021-1029.
9. 9. S. A. Saxon and L. M. Sánchez Ruiz, Optimal cardinals for metrizable barrelled spaces, J. London Math. Soc. (2), 51 (1995), 137-147.
10. 10. S. A. Saxon and L. M. Sánchez Ruiz, Barrelled countable enlargements and the bounding cardinal, J. London Math. Soc. (2), 53 (1996), 158-166.
11. 11. I. Tweddle, Barrelled spaces whose bounded sets have at most countable dimension, J. London Math. Soc. (2), 29 (1984), 276-282.
12. 12. I. Tweddle and F. E. Yeomans, On the stability of barrelled topologies, II, Glasgow Math. J. 21 (1980), 91-95.