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First Properties of Elementary Topoi

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Sheaves in Geometry and Logic

Part of the book series: Universitext ((UTX))

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Abstract

In this chapter we present elementary conditions (or axioms) that make a category £ a topos, and then develop from these conditions and in a suitable order certain other basic properties. Most of these properties have already been seen to hold for our typical categories discussed in Chapter I, and for the categories of sheaves on a space (Chapter II) or on a site (Chapter III).

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© 1994 Springer Science+Business Media New York

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Mac Lane, S., Moerdijk, I. (1994). First Properties of Elementary Topoi. In: Sheaves in Geometry and Logic. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0927-0_6

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  • DOI: https://doi.org/10.1007/978-1-4612-0927-0_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97710-2

  • Online ISBN: 978-1-4612-0927-0

  • eBook Packages: Springer Book Archive

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