NDLI: Hypercontinuous posets

Content Provider	Springer Nature Link
Author	Zhang, Wenfeng Xu, Xiaoquan
Copyright Year	2015
Abstract	The concepts of hypercontinuous posets and generalized completely continuous posets are introduced. It is proved that for a poset P the following three conditions are equivalent: (1) P is hypercontinuous; (2) the dual of P is generalized completely continuous; (3) the normal completion of P is a hypercontinuous lattice. In addition, the relational representation and the intrinsic characterization of hypercontinuous posets are obtained.
Starting Page	195
Ending Page	200
Page Count	6
File Format	PDF
ISSN	02529599
Journal	Chinese Annals of Mathematics, Series B
Volume Number	36
Issue Number	2
e-ISSN	18606261
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-02-04
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Generalized completely continuous posets Normal completion Complete lattices, completions Adjoint functors Mathematics Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Hypercontinuous posets