Publication details
Definable orthogonality classes in accessible categories are small
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Journal of the European Mathematical Society |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.4171/JEMS/511 |
| Field | General mathematics |
| Keywords | supercompact cardinal; extendible cardinal; Lévy hierarchy; accessible category; reflective subcategory |
| Description | We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopěnka's principle. We prove that the necessary large-cardinal hypotheses depend on the complexity of the formulas defining the given classes, in the sense of the Lévy hierarchy. |
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