Cellular objects and Shelah's singular compactness theorem

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Authors

BEKE Tibor ROSICKÝ Jiří

Year of publication 2016
Type Article in Periodical
Magazine / Source Journal of Pure and Applied Algebra
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1016/j.jpaa.2015.10.003
Field General mathematics
Keywords accessible category; Shelah's singular compactness theorem; cellular morphism
Description We give a single, structural statement of singular compactness that covers all examples in the literature that we are aware of. A case of this formulation, singular compactness for cellular structures, is of special interest; it expresses a relative notion of freeness.
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