Skip to main content

Getting to Know Open and Closed Sets

  • Chapter
  • First Online:
Reading, Writing, and Proving

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

  • 212k Accesses

Abstract

When we work in ℝ with the usual metric, we think of distance as measured by absolute value. Points are close when the absolute value of the difference is small.

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 74.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 74.95
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ulrich Daepp .

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Daepp, U., Gorkin, P. (2011). Getting to Know Open and Closed Sets. In: Reading, Writing, and Proving. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9479-0_26

Download citation

Publish with us

Policies and ethics