nLab Peter Johnstone

Peter Tennant Johnstone is a Professor of Foundations of Mathematics at the University of Cambridge, working on topos theory. He got his Ph.D. degree in 1974 from the University of Cambridge, advised by J. Frank Adams.

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Selected writings

On topos theory:

• Topos Theory, London Mathematical Society Monographs, Vol. 10. Academic Press (Harcourt Brace Jovanovich, Publishers), London-New York, 1977. xxiii+367 pp. ISBN: 0-12-387850-0. Reprinted by Dover Publications, Dover Books on Mathematics, 18th December 2013. ISBN: 9780486493367.

• Sketches of an elephant: a topos theory compendium, Vol. 1. Oxford Logic Guides, 43. The Clarendon Press, Oxford University Press, New York, 2002. xxii+468+71 pp. ISBN: 0-19-853425-6. Vol. 2. Oxford Logic Guides, 44. The Clarendon Press, Oxford University Press, Oxford, 2002. pp. i–xxii, 469–1089 and I1–I71. ISBN: 0-19-851598-7.

On Stone spaces and Stone duality:

• Stone Spaces, Cambridge Studies in Advanced Mathematics 3. Cambridge University Press, Cambridge, 1982. xxi+370 pp. ISBN: 0-521-23893-5. Reprint of the 1982 edition, 1986. ISBN: 0-521-33779-8.

On indexed categories:

• P. T. Johnstone, R. Paré, R. D. Rosebrugh, D. Schumacher, R. J. Wood, G. C. Wraith, Indexed Categories and Their Applications, Lecture Notes in Mathematics 661 (1978) [doi:10.1007/bfb0061362]

On commutativity of limits with colimits:

• Marie Bjerrum, Peter Johnstone, Tom Leinster, William F. Sawin, Notes on commutation of limits and colimits, Theory and Applications of Categories 30 (2015), 527-532 [arXiv:1409.7860, tac:3015]

category: people