Skip to main content

Part of the book series: Grundlehren Text Editions ((TEXTEDITIONS))

  • 5361 Accesses


Our working space is ℝn. We recall that this space has the structure of a real vector space (its elements being called vectors), and also of an affine space (a set of points); the latter can be identified with the vector-space ℝn whenever an origin is specified. It is not always possible, nor even desirable, to distinguish vectors and points.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

USD 9.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
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


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations


Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Hiriart-Urruty, JB., Lemaréchal, C. (2001). Convex Sets. In: Fundamentals of Convex Analysis. Grundlehren Text Editions. Springer, Berlin, Heidelberg.

Download citation

  • DOI:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42205-1

  • Online ISBN: 978-3-642-56468-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics