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On largest Hausdorff compactification for convergence spaces

Published online by Cambridge University Press:  17 April 2009

C.J.M. Rao
C.J.M. Rao
Affiliation:
Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur, India.
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Abstract

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In this note we obtain a characterization of the class of convergence spaces for which Richardson's compactification is the largest Hausdorff compactification and a characterization of the class of convergence spaces which possess largest Hausdorff compactifications.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 1 , February 1975 , pp. 73 - 79
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Fischer, H.R., “Limesräume”, Math. Ann. 137 (1959), 269–303.CrossRefGoogle Scholar
[2]Gazik, R.J., “Regularity of Richardson's compactification”, Canad. J. Math, (to appear).Google Scholar
[3]Kent, D.C., “Convergence quotient maps”, Fund. Math. 65 (1969), 197–205.CrossRefGoogle Scholar
[4]Rao, C.J.M., “On smallest compactification for convergence spaces”, Proc. Amer. Math. Soc. 44 (1974), 225–230.CrossRefGoogle Scholar
[5]Richardson, G.D., “A Stone-Čech compactification for limit spaces”, Proc. Amer. Math. Soc. 25 (1970), 403–404.Google Scholar
[6]Richardson, G.D. and Kent, D.C., “Regular compactifications of convergence spaces”, Proc. Amer. Math. Soc. 31 (1972), 571–573.CrossRefGoogle Scholar