Absolutely Free Algebras in a Topos Containing an Infinite Object
1976 ◽
Vol 19
(3)
◽
pp. 323-328
◽
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.
Keyword(s):
2019 ◽
Vol 40
(12)
◽
pp. 2062-2076
2012 ◽
Vol 7
(1)
◽
pp. 145-160
◽
1983 ◽
Vol 43
(3)
◽
pp. 476-490
◽
1956 ◽
Vol 59
◽
pp. 565-570
◽
Keyword(s):
1995 ◽
Vol 20
(1)
◽
pp. 93-115
◽