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RML
2006

Some Results on Ordered Structures in Toposes

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Some Results on Ordered Structures in Toposes
Abstract. A topos version of Cantor's back and forth theorem is established and used to prove that the ordered structure of the rational numbers Q, < is homogeneous in any topos with natural numbers object. The notion of effective homogeneity is introduced, and it is shown that Q, < is a minimal effectively homogeneous structure, that is, it can be embedded in every other effectively homogeneous ordered structure.
Luís A. Sbardellini, Marcelo E. Coniglio
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2006
Where RML
Authors Luís A. Sbardellini, Marcelo E. Coniglio
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