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Basic Subtoposes of the Effective Topos

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(2012)cite http://arxiv.org/abs/1201.2571arxiv:1201.2571Comment: 26 pages.

Abstract

We employ a new tool (sights) to investigate local operators in the Effective Topos. A number of new such local operators is analyzed using this machinery. Moreover, we investigate a local operator defined in the thesis of A. Pitts, and establish that its corresponding subtopos satisfies true arithmetic.

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