Uncountable orthogonality is a closure property

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Authors

HÉBERT M. ROSICKÝ J.

Year of publication 2001
Type Article in Periodical
Magazine / Source Buletin of the London Mathematical Society
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords locally presentable category; orthogonality class
Description It is shown that, for k uncountable, k-orthogonality classes in locally k-presentable categories coincide with full subcategories that are closed under limits and k-directed colimits. This comes as a surprise, since the statement is known to be false for k countable.
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