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A note on fragmentable topological spaces

Published online by Cambridge University Press:  17 April 2009

Toshihiro Nagamizu
Affiliation:
Department of Mathematics and System Fundamentals, The Graduate School of Science and Technology, Kobe University, Nada, Kobe 657, Japan
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Abstract

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We extend the results of N.K. Ribarska and A.V. Arhangel'skiĭ to the class of strongly countably complete spaces. And we show another characterisation of Eberlein and Radon-Nikodým compact spaces.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Amir, D. and Lindenstrauss, J., ‘The structure of weakly compact sets in Banach space’, Ann. of Math. 88 (1968), 3546.CrossRefGoogle Scholar
[2]Arhagel'skiiˇ, A.V., ‘On some topological spaces that occur in functional analysis’, Russian Math. Surveys 31 (1976), 1430.CrossRefGoogle Scholar
[3]Frolick, Z., ‘Baire spaces and some generalizations of complete metric spaces’, Czechoslovak. Math. J. 11 (1961), 359379.Google Scholar
[4]Jayne, J.E., Namioka, I. and Rogers, C.A., ‘Topological properties related to the Radon-Nikoým property’, (preprint).Google Scholar
[5]Jayne, J.E. and Rogers, C.A., ‘Borel selectors for upper semi-continuous set-valued maps’, Acta Math. 155 (1985), 4179.CrossRefGoogle Scholar
[6]Namioka, I., ‘Separate continuity and joint continuity’, Pacific J. Math. 51 (1974), 515531.CrossRefGoogle Scholar
[7]Namioka, I., ‘Eberlein and Radon-nikoým compact spaces’, Leture notes of a course given at University of London, (1985/1986).Google Scholar
[8]Namioka, I., ‘Radon-nikodým compact spaces and fragmentability’, Mathematika 34 (1987), 285–281.CrossRefGoogle Scholar
[9]Piotrowski, Z., ‘Separate and joint continuity’, (preprint).Google Scholar
[10]Ribarska, N.K., ‘Internal characterization of fragmentable spaces’, Mathematika 34 (1987), 243257.CrossRefGoogle Scholar
[11]Ribarska, N.K., ‘A note on fragmentability of some topological spaces’, Comptes rendus de l'Academie bulgare des Sciences (1990), 1315.Google Scholar