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Bounded variation implies regulated: a constructive proof

Published online by Cambridge University Press:  12 March 2014

Douglas Bridges
Affiliation:
Department of Mathematics & Statistics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand, E-Mail: d.bridges@math.canterbury.ac.nz

Abstract.

It is shown constructively that a strongly extensional function of bounded variation on an interval is regulated, in a sequential sense that is classically equivalent to the usual one.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2001

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References

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