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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.

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References

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© 1966 Springer-Verlag Berlin · Heidelberg

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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

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  • 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

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