Cartesian closedness of categories of completely distributive lattices

Authors
Zhang, DX Yang, ZQ
Citation
Dx. Zhang et Zq. Yang, Cartesian closedness of categories of completely distributive lattices, CHIN SCI B, 43(24), 1998, pp. 2059-2063
Citations number
9
Categorie Soggetti
Multidisciplinary
Journal title
CHINESE SCIENCE BULLETIN
ISSN journal
10016538 → ACNP
Volume
43
Issue
24
Year of publication
1998
Pages
2059 - 2063
Database
ISI
SICI code
1001-6538(199812)43:24<2059:CCOCOC>2.0.ZU;2-K
Abstract
The category of completely distributive lattices with Scott continuous func tions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category of compl etely distributive lattices with nonempty union preserving mappings is cart esian closed.