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A note on connected submetaLindelöf spaces

Published online by Cambridge University Press:  17 April 2009

Nobuyuki Kemoto
Nobuyuki Kemoto
Affiliation:
Department of Mathematics, College of Education, Ryukyu University, Nishihara-Cho, Okinawa, Japan.
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Abstract

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In this paper, we shall show that if m is a natural number and for every 0 ≦ n ≦ m, and 2ω ≦ ωm are assumed, then connected, locally Lindelöf, submetaLindelöf, normal spaces of character ≦ 2ω are Lindelöf. Furthermore, we shall show that if and only if connected, locally Lindelöf, submetaLindelöf, normal spaces of character ≦ 2ω and tightness ≦ ω are Lindelöf.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 1 , August 1989 , pp. 83 - 89
Copyright
Copyright © Australian Mathematical Society 1989

References

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