Some classes of sequential spaces

Publisher： Cambridge University Press

E-ISSN： 1755-1633|47|3|377-384

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.47, Iss.3, 1993-06, pp. : 377-384

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Abstract

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.

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