Abstract
In classical analysis the Cauchy criterion plays a critically important role as a test for convergence. In the theory of abstract metric spaces its role is no less important, but here it serves as a basis for classifying metric spaces.
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
© 1995 Springer Science+Business Media New York
About this chapter
Cite this chapter
Brown, A., Pearcy, C. (1995). Completeness and compactness. In: An Introduction to Analysis. Graduate Texts in Mathematics, vol 154. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0787-0_8
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0787-0_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6901-4
Online ISBN: 978-1-4612-0787-0
eBook Packages: Springer Book Archive