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Colimits of accessible categories

Published online by Cambridge University Press:  28 January 2013

R. PARÉ  and
J. ROSICKÝ
R. PARÉ
Affiliation:
Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, Canada, B3H 4R2. e-mail: [email protected]
J. ROSICKÝ
Affiliation:
Department of Mathematics and Statistics, Masaryk University, Faculty of Sciences, Kotlářská 2, 611 37 Brno, Czech Republic e-mail: [email protected]
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Abstract

We show that any directed colimit of accessible categories and accessible full embeddings is accessible and, assuming the existence of arbitrarily large strongly compact cardinals, any directed colimit of accessible categories and accessible embeddings is accessible.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 155 , Issue 1 , July 2013 , pp. 47 - 50
Copyright
Copyright © Cambridge Philosophical Society 2013 

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References

REFERENCES

[1]Adámek, J. and Rosický, J.Locally Presentable and Accessible Categories (Cambridge University Press, 1994).CrossRefGoogle Scholar
[2]Eklof, P. C. and Mekler, A. H.Almost Free Modules (North-Holland, 1990).Google Scholar
[3]Jech, T.Set Theory (Academic Press, 1978).Google Scholar
[4]Lurie, J.Higher Topos Theory (Princeton University Press, 2009).CrossRefGoogle Scholar
[5]Makkai, M. and Paré, R.Accessible Categories: The Foundations of Categorical Model Theory (American Mathematical Society, 1989).CrossRefGoogle Scholar
[6]Rosický, J.On combinatorial model categories. Appl. Categ. Structures 17 (2009), 303–316.CrossRefGoogle Scholar