Title of article
Lim-inf convergence in partially ordered sets ✩
Author/Authors
Zhao Bin، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
8
From page
701
To page
708
Abstract
The lim-inf convergence in a complete lattice was introduced by Scott to characterize continuous
lattices. Here we introduce and study the lim-inf convergence in a partially ordered set. The main
result is that for a poset P the lim-inf convergence is topological if and only if P is a continuous
poset. A weaker form of lim-inf convergence in posets is also discussed.
2004 Elsevier Inc. All rights reserved
Keywords
Continuous posets , Lim-inf-convergence , Lim-inf2-convergence , ?-Continuous posets
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
934060
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