Skip to main content

Generalizations of Metric Spaces

  • Chapter
  • First Online:
Encyclopedia of Distances
  • 1811 Accesses

Abstract

Some immediate generalizations of the notion of metric, for example, quasi-metric, near-metric, extended metric, were defined in Chap. 1 Here we give some generalizations in the direction of Topology, Probability, Algebra, etc.

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 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Beer G. On Metric Boundeness Structures, Set-Valued Analysis, Vol. 7, pp. 195–208, 1999.

    Article  MathSciNet  MATH  Google Scholar 

  2. Deza M.M. and Dutour M. Cones of Metrics, Hemi-metrics and Super-metrics, Ann. of European Academy of Sci., pp. 141–162, 2003.

    Google Scholar 

  3. Martin K. A foundation for computation, Ph.D. Thesis, Tulane University, Department of Math., 2000.

    Google Scholar 

  4. Schweizer B. and Sklar A. Probabilistic Metric Spaces, North-Holland, 1983.

    MATH  Google Scholar 

  5. Weiss I. Metric 1-spaces, arXiv:1201.3980[math.MG], 2012.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Deza, M.M., Deza, E. (2016). Generalizations of Metric Spaces. In: Encyclopedia of Distances. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52844-0_3

Download citation

Publish with us

Policies and ethics