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Categorical set theory : ウィキペディア英語版
Categorical set theory

Categorical set theory is any one of several versions of set theory developed from or treated in the context of mathematical category theory.
==References==

* Barr, M. and Wells, C., ''Category Theory for Computing Science'', Hemel Hempstead, UK, 1990.
* Bourbaki, N., ''Elements of the History of Mathematics'', John Meldrum (trans.), Springer-Verlag, Berlin, Germany, 1994.
* Kelley, J.L., ''General Topology'', Van Nostrand Reinhold, New York, NY, 1955.
* Lambek, J. and Scott, P.J., ''Introduction to Higher Order Categorical Logic'', Cambridge University Press, Cambridge, UK, 1986.
* Lawvere, F.W., and Rosebrugh, R., ''Sets for Mathematics'', Cambridge University Press, Cambridge, UK, 2003.
* Lawvere, F.W., and Schanuel, S.H., ''Conceptual Mathematics, A First Introduction to Categories'', Cambridge University Press, Cambridge, UK, 1997. Reprinted with corrections, 2000.
* Mathematical Society of Japan, ''Encyclopedic Dictionary of Mathematics'', 2nd edition, 2 vols., Kiyosi Itô (ed.), MIT Press, Cambridge, MA, 1993.
* Mitchell, J.C., ''Foundations for Programming Languages'', MIT Press, Cambridge, MA, 1996.
* Nestruev, J., ''Smooth Manifolds and Observables'', Springer-Verlag, New York, NY, 2003. ISBN 0-387-95543-7.
* Poizat, B., ''A Course in Model Theory: An Introduction to Contemporary Mathematical Logic'', Moses Klein (trans.), Springer-Verlag, New York, NY, 2000.

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