Geodesic
Lifting Inductive and Projective Limits
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1329-1339

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, which is the fourth in a series of articles (11, 12, 13) on universal solutions in categories, a relationship between inductive limits and final structures (or projective limits and initial structures) is studied. The problems to be encountered are illustrated by the following example. 
Sonner, Johann. Lifting Inductive and Projective Limits. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1329-1339. doi: 10.4153/CJM-1967-122-0
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[1] 1. Andreotti, A., Généralités sur les catégories abéliennes, (Séminaire A. Grothendieck, 1957). Google Scholar

[2] 2. Bourbaki, N., Théorie des ensembles, 2nd éd., chap. 3 (Paris, 1963). Google Scholar

[3] 3. Bourbaki, N., Théorie des ensembles, chap. 4 (Paris, 1957). Google Scholar

[4] 4. Chevalley, C., Fundamental concepts of algebra (New York, 1956). Google Scholar

[5] 5. Ehresmann, C., Catégories differentiables et géométrie différentielle, Lecture notes, Université de Montréal, 1961. Google Scholar

[6] 6. Ehresmann, C., Structures quotient, Comm. Math. Helvetici, 38 (1964), 219–283. Google Scholar

[7] 7. Eilenberg, S., Foundations of fiber bundles, Lecture notes, University of Chicago, 1957. Google Scholar

[8] 8. Isbell, J. R., Some remarks concerning categories and subspaces, Can. J. Math. 9 (1957), 563–577. Google Scholar

[9] 9. Kurosh, A. G., The theory of groups, vol. 2, 2nd ed. (New York, 1956). Google Scholar

[10] 10. Maclane, S., Categorical algebra, Colloquium Lectures given at Boulder, Colorado (Amer. Math. Soc., 1963). Google Scholar

[11] 11. Sonner, J., On the formal definition of categories, Math. Z., 80 (1962), 163–176. Google Scholar

[12] 12. Sonner, J., Universal and special problems, Math. Z., 82 (1963), 200–211. Google Scholar

[13] 13. Sonner, J., Universal solutions and adjoint homomorphisms, Math. Z., 85 (1964), 14–20. Google Scholar

[14] 14. Sonner, J., Categories, Lecture notes, University of South Carolina, 1964. Google Scholar

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