Movatterモバイル変換


[0]ホーム

URL:


Skip to main content

Advertisement

Springer Nature Link
Log in

Sheaves

  • Chapter
  • First Online:

Part of the book series:Compact Textbooks in Mathematics ((CTM))

  • 818Accesses

Abstract

The sheaf concept is part of the basic vocabulary of modern geometry and topology. It serves to formalise the transition from the local to the global. However, sheaf theory is much more general; it can even be used to study the foundations of logic. These statements already indicate the generality of the theory. Therefore, we will only try to introduce the basic ideas here leisurely, without claiming to deploy the category-theoretical machine properly. We will naturally not get as far as, for example, the book [MM94], which is well suited for further education in this direction.

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

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 5719
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 7149
Price includes VAT (Japan)
  • 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

References

  1. Mac Lane, S., & Moerdijk, I. (1994).Sheaves in geometry and logic.A first introduction to topos theory. Springer-Verlag.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Ruhr-Universität Bochum, Bochum, Germany

    Gerd Laures

  2. School of Mathematical and Physical Sciences, University of Sheffield, Sheffield, UK

    Markus Szymik

Authors
  1. Gerd Laures
  2. Markus Szymik

Rights and permissions

Copyright information

© 2025 The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Laures, G., Szymik, M. (2025). Sheaves. In: A Basic Course in Topology. Compact Textbooks in Mathematics. Birkhäuser, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-70602-2_10

Download citation

Publish with us

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 5719
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 7149
Price includes VAT (Japan)
  • 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


[8]ページ先頭

©2009-2025 Movatter.jp