Foundations of Physics

, Volume 30, Issue 10, pp 1707–1735

Some Possible Roles for Topos Theory in Quantum Theory and Quantum Gravity

  • C. J. Isham
  • J. Butterfield

DOI: 10.1023/A:1026406502316

Cite this article as:
Isham, C.J. & Butterfield, J. Foundations of Physics (2000) 30: 1707. doi:10.1023/A:1026406502316


We discuss some ways in which topos theory (a branch of category theory) can be applied to interpretative problems in quantum theory and quantum gravity. In Sec.1, we introduce these problems. In Sec.2, we introduce topos theory, especially the idea of a topos of presheaves. In Sec.3, we discuss several possible applications of topos theory to the problems in Sec.1. In Sec.4, we draw some conclusions.

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • C. J. Isham
    • 1
  • J. Butterfield
    • 2
  1. 1.The Blackett LaboratoryImperial College of Science, Technology and Medicine, South KensingtonLondonUnited Kingdom
  2. 2.All Souls CollegeOxfordUnited Kingdom