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Lifting colimits in various categories

Published online by Cambridge University Press:  24 October 2008

Philip R. Heath  and
M. M. Parmenter
Philip R. Heath
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's, Newfoundland, A1C 5S7.
M. M. Parmenter
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's, Newfoundland, A1C 5S7.
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Extract

In a recent publication [2], R. Brown and the first author proved a Lifting Theorem for groups (and topological groups) showing that if β: B → H is an epimorphism of groups and H is a certain type of colimit of groups, then this colimit can be lifted (or pulled back) through β; that is B is a colimit of the lifted diagram (see Corollary 2·3 below).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 2 , September 1988 , pp. 193 - 197
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

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