No CrossRef data available.
Article contents
Finite presentabilityof strongly finite dilators
Published online by Cambridge University Press: 15 April 2002
Abstract
In this paper, we establish the following results:(i) every strongly finite dilator is finitely presentable in the category of endofunctors on the category of ordinals;(ii) a dilator F is strongly finite if and only if F is finitely presentable in the category of dilators.
Information
- Type
- Research Article
- Information
- RAIRO - Theoretical Informatics and Applications , Volume 34 , Issue 6 , November 2000 , pp. 425 - 431
- Copyright
- © EDP Sciences, 2000
References
J. Ad
$\acute{{\rm a}}$
mek and J. Rosick
$\acute{{\rm y}}$
, Locally presentable and accessible categories. Cambridge University Press, London Math. Soc. Lecture Notes Ser.
189 (1994).
mek and J. Rosick
$\acute{{\rm y}}$
, Locally presentable and accessible categories. Cambridge University Press, London Math. Soc. Lecture Notes Ser.
189 (1994).Cichon, E.A. and Wainer, S.S., The slow-growing and the Grzegorczyk hierarchies.
J. Symbolic Logic
48 (1983) 399-408.
CrossRef
J.Y. Girard,
$\Pi^1_2$
-logic, Part I; dilators. Ann. Math. Logic
21 (1981) 75-219.
-logic, Part I; dilators. Ann. Math. Logic
21 (1981) 75-219.J.Y. Girard, Proof theory and logical complexity, Vol. 1. Bibliopolis (1987).
Johnstone, P.T., A topos-theorist looks at dilators.
J. Pure Appl. Algebra
58 (1989) 235-249.
CrossRef
Weiermann, A., A functorial property of the Aczel-Buchholz-Feferman function.
J. Symbolic Logic
59 (1994) 945-955.
CrossRef