ON PREACCESSIBLE CATEGORIES

Authors
ADAMEK J ROSICKY J
Citation
J. Adamek et J. Rosicky, ON PREACCESSIBLE CATEGORIES, Journal of pure and applied algebra, 105(3), 1995, pp. 225-232
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
105
Issue
3
Year of publication
1995
Pages
225 - 232
Database
ISI
SICI code
0022-4049(1995)105:3<225:OPC>2.0.ZU;2-5
Abstract
A lambda-preaccessible category is defined as a lambda-accessible cate gory except that the existence of all lambda-directed colimits is not required. Every category with a dense set of objects is proved to be p reaccessible, and every preaccessible category with equalizers to be a ccessible. These results require the large-cardinal Vopenka's principl e.