Skip to main content

Part of the book series: Modern Birkhäuser Classics ((MBC))

  • 3938 Accesses

Abstract

The Lipschitz distance between two metric spaces X, Y, denoted dL(X, Y), is the infimum of the numbers

$$ |\log dil(f)| + |\log dil(f^{{\text{ - 1}}} )| $$

as f varies over the set of bi-Lipschitz homeomorphisms between X and Y.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Birkhäuser Boston

About this chapter

Cite this chapter

(2007). Metric Structures on Families of Metric Spaces. In: Metric Structures for Riemannian and Non-Riemannian Spaces. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4583-0_3

Download citation

Publish with us

Policies and ethics