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On the uniqueness of cellular injectives

Published online by Cambridge University Press:  18 June 2018

J. ROSICKÝ
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

A. Avilés and C. Brech proved an intriguing result about the existence and uniqueness of certain injective Boolean algebras or Banach spaces. Their result refines the standard existence and uniqueness of saturated models. They express a wish to obtain a unified approach in the context of category theory. We provide this in the framework of weak factorisation systems. Our basic tool is the fat small object argument.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 167 , Issue 3 , November 2019 , pp. 489 - 504
Copyright
Copyright © Cambridge Philosophical Society 2018 

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References

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