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Absolutely Free Algebras in a Topos Containing an Infinite Object

Published online by Cambridge University Press:  20 November 2018

D. Schumacher
D. Schumacher*
Affiliation:
Department of Mathematics, Acadia University, Wolfville, Nova Scotia, Canada
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This note confirms that the existence proof for absolutely free algebras originated by Dedekind in [2] and completely developed for instance in [4] can still be carried out in a topos containing an infinite object i.e. an object N for which N ≃ N+1 if the type of the algebras considered is finite, pointed and internally projective i.e. is a finite sequence of objects, (Ij)i≤j≤k for which the functors ( )Ij preserve epimorphisms and each of which has a global section.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 3 , 01 September 1976 , pp. 323 - 328
Copyright
Copyright © Canadian Mathematical Society 1976

References

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