quasiorders, principal topologies, and partially ordered partitions

أشباه الترتيب، والتبولوجيات الرئيسية، والتجزئات المرتبة جزئيًا

Clicks: 112
ID: 233173
1998
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Abstract
The quasiorders on a set X are equivalent to the topologies on X which are closed under arbitrary intersections. We consider the quaisorders on X to be partial orders on the blocks of a partition of X and use this approach to survey some fundamental results on the lattice of quasiorders on X.
تتكافأ علاقات شبه الترتيب على مجموعة $X$ مع الطوبولوجيات المعرّفة على $X$ والمغلقة تحت التقاطعات الاعتباطية. نعتبر علاقات شبه الترتيب على $X$ بمثابة علاقات ترتيب جزئي على كتل تجزئة لـ $X$، ونستخدم هذا النهج لاستعراض بعض النتائج الأساسية المتعلقة بمشبكة علاقات شبه الترتيب على $X$.
Reference Key
richmond1998internationalquasiorders, Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors
Journal structural engineering and mechanics
Year 1998
DOI
10.1155/S0161171298000325
URL
Keywords

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