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Semiconvex spaces II

Published online by Cambridge University Press:  18 May 2009

S. O. Iyahen
S. O. Iyahen
Affiliation:
University of IbadanIbadan, Nigeria
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One of the concepts introduced in [2] is that of a hyperbornological space, an idea which effectively replaces that of a bornological space when semiconvex spaces are being considered. In Section 2 of the present paper, it is shown how the topology of such a space may be described in terms of bounded pseudometrices. This is used in Section 3 to tackle the problem of when a product of separated hyperbornological spaces has the same property. It is shown that, as in the classical case of bornological spaces, this problem is equivalent to one in measure theory.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 10 , Issue 2 , July 1969 , pp. 103 - 105
Copyright
Copyright © Glasgow Mathematical Journal Trust 1969

References

REFERENCES

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