Abstract
In this paper, we study existential diagramatic theorems, i.e., theorems such as the connecting homomorphism lemma, in which certain exactness and commutativity conditions in a diagram imply the existence of an auxiliary map or „fill-in“ in the diagram, together with certain properties for the enlarged diagram.
Received August 29, 1965.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Faber, R.: Adjoint Functors, Representations, and Fill-in Theorems, Thesis, Brandeis Univ., 1965.
Freyd, P.: Functor Theory, Thesis, Princeton Univ., 1960.
— Abelian Categories. New York: Harper & Row 1964.
Lubkin, S.: Imbedding of Abelian Categories. Trans. Amer. Math. Soc. 97, 410–417 (1960).
Mitchell, B.: The Full Embedding Theorem. Amer. J. Math. 86, 619–637 (1964).
MacLane, S.: Homology. New York: Academic Press 1963.
Puppe, D.: Korrespondenzen in Abelschen Kategorien. Math. Ann. 148, 1–30 (1962).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1966 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Faber, R., Freyd, P. (1966). Fill-in Theorems. In: Eilenberg, S., Harrison, D.K., MacLane, S., Röhrl, H. (eds) Proceedings of the Conference on Categorical Algebra. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-99902-4_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-99902-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-99904-8
Online ISBN: 978-3-642-99902-4
eBook Packages: Springer Book Archive