Dedekind Finiteness in Topoi
Publication Date
January 1987
Abstract
A Dedekind finite object in a topos is an object such that any monic endomorphism is an epimorphism. This paper proves the basic properties of Dedekind finiteness and then gives examples which show that the class of Dedekind finite objects is not closed under quotients, subobjects, exponentiation, or finite powerobjects. Examples also show that having no nontrivial epic endomorphisms is distinct from Dedekind finiteness.
Disciplines
Mathematics
Recommended Citation
Stout, Lawrence, "Dedekind Finiteness in Topoi" (1987). Scholarship. 82.
https://digitalcommons.iwu.edu/math_scholarship/82
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