Abstract
We have seen, in (8.23) above, that for filters on a uniform space convergence implies the Cauchy condition, while the converse implication is generally false.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag, New York Inc.
About this chapter
Cite this chapter
James, I.M. (1987). Completeness and Completion. In: Topological and Uniform Spaces. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4716-6_13
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4716-6_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9128-2
Online ISBN: 978-1-4612-4716-6
eBook Packages: Springer Book Archive