Dedekind finiteness in topoi (Q1105020)

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scientific article; zbMATH DE number 4057750
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English
Dedekind finiteness in topoi
scientific article; zbMATH DE number 4057750

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    Dedekind finiteness in topoi (English)
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    1987
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    An object A of a topos is said to be Dedekind finite if every monic endomorphism of A is an isomorphism. In this short but useful paper, the author presents a number of counterexamples (in various toposes of presheaves or sheaves) to show that in general the notion of Dedekind finiteness is less well behaved than one might have hoped.
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    Dedekind-finite object
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    toposes of presheaves or sheaves
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