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Some classes of sequential spaces

Published online by Cambridge University Press:  17 April 2009

Sergey A. Svetlichny
Sergey A. Svetlichny
Affiliation:
Department of Mathematics, The University of Melbourne, Parkville Vic 3052, Australia
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By means of defined concepts all metric spaces of given weight or cardinality and their quotients are characterised. An example of a sequential space having weight w1 which is not a quotient of any metric space of weight w1 is provided. The well-known classes of sequential spaces are also obtained as images of metric spaces by particular kinds of maps.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 3 , June 1993 , pp. 377 - 384
Copyright
Copyright © Australian Mathematical Society 1993

References

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