https://www.vigyanwiki.in/index.php?action=history&feed=atom&title=Template%3AOrder_theory 2026-06-29T16:59:28Z Revision history for this page on the wiki MediaWiki 1.39.3 https://www.vigyanwiki.in/index.php?title=Template:Order_theory&diff=92261&oldid=prev 2023-02-20T12:30:18Z

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Indicwiki https://www.vigyanwiki.in/index.php?title=Template:Order_theory&diff=92260&oldid=prev 2023-01-27T17:56:06Z

<p>Created page with &quot;{{Navbox | name = Order theory | title = <a href="/index.php?title=Order_theory&amp;action=edit&amp;redlink=1" class="new" title="Order theory (page does not exist)">Order theory</a> | state = {{{state|{{{1|&lt;noinclude&gt;un&lt;/noinclude&gt;collapsed}}}}}} | bodyclass = hlist | above = * List of order the...&quot;</p> <p><b>New page</b></p><div>{{Navbox<br /> | name = Order theory<br /> | title = [[Order theory]]<br /> | state = {{{state|{{{1|&lt;noinclude&gt;un&lt;/noinclude&gt;collapsed}}}}}}<br /> | bodyclass = hlist<br /> <br /> | above =<br /> * [[List of order theory topics|Topics]]<br /> * [[Glossary of order theory|Glossary]]<br /> * [[:Category:Order theory|Category]]<br /> <br /> | group10 = Key concepts<br /> | list10 =<br /> * [[Binary relation]]<br /> * [[Boolean algebra (structure)|Boolean algebra]]<br /> * [[Cyclic order]]<br /> * [[Lattice (order)|Lattice]]<br /> * [[Partially ordered set|Partial order]]<br /> * [[Preorder]]<br /> * [[Total order]]<br /> * [[Weak ordering]]<br /> <br /> | group20 = Results<br /> | list20 =<br /> * [[Boolean prime ideal theorem]]<br /> * [[Cantor–Bernstein theorem]]<br /> * [[Cantor's isomorphism theorem]]<br /> * [[Dilworth's theorem]]<br /> * [[Dushnik–Miller theorem]]<br /> * [[Hausdorff maximal principle]]<br /> * [[Knaster–Tarski theorem]]<br /> * [[Kruskal's tree theorem]]<br /> * [[Laver's theorem]]<br /> * [[Mirsky's theorem]]<br /> * [[Szpilrajn extension theorem]]<br /> * [[Zorn's lemma]]<br /> <br /> | group30 = Properties&amp;nbsp;&amp;amp; Types&amp;nbsp;(&lt;small&gt;[[List of order structures in mathematics|list]]&lt;/small&gt;)<br /> | list30 =<br /> * [[Antisymmetric relation|Antisymmetric]]<br /> * [[Asymmetric relation|Asymmetric]]<br /> * [[Boolean algebra (structure)|Boolean algebra]]<br /> ** [[List of Boolean algebra topics|topics]]<br /> * [[Completeness (order theory)|Completeness]]<br /> * [[Connected relation|Connected]]<br /> * [[Covering relation|Covering]]<br /> * [[Dense order|Dense]]<br /> * [[Directed set|Directed]]<br /> * ([[Partial equivalence relation|Partial]])&amp;nbsp;[[Equivalence relation|Equivalence]]<br /> * [[Foundational relation|Foundational]]<br /> * [[Heyting algebra]]<br /> * [[Homogeneous relation|Homogeneous]]<br /> * [[Idempotent relation|Idempotent]]<br /> * [[Lattice (order)|Lattice]]<br /> ** [[Bounded lattice|Bounded]]<br /> ** [[Complemented lattice|Complemented]]<br /> ** [[Complete lattice|Complete]]<br /> ** [[Distributive lattice|Distributive]]<br /> ** [[Join and meet]]<br /> * [[Reflexive relation|Reflexive]]<br /> * [[Partial order]]<br /> ** [[Chain-complete partial order|Chain-complete]]<br /> ** [[Graded poset|Graded]]<br /> ** [[Eulerian poset|Eulerian]]<br /> ** [[Strict partial order|Strict]]<br /> * [[Prefix order]]<br /> * [[Preorder]]<br /> ** [[Total preorder|Total]]<br /> * [[Semilattice]]<br /> * [[Semiorder]]<br /> * [[Symmetric relation|Symmetric]]<br /> * [[Total relation|Total]]<br /> * [[Tolerance relation|Tolerance]]<br /> * [[Transitive relation|Transitive]]<br /> * [[Well-founded relation|Well-founded]]<br /> * [[Well-quasi-ordering]] ([[Better-quasi-ordering|Better]])<br /> * ([[Prewellordering|Pre]])&amp;nbsp;[[Well-order]]<br /> <br /> | group50 = Constructions<br /> | list50 =<br /> * [[Composition of relations|Composition]]<br /> * [[Converse relation|Converse/Transpose]]<br /> * [[Lexicographic order]]<br /> * [[Linear extension]]<br /> * [[Product order]]<br /> * [[Reflexive closure]]<br /> * [[Series-parallel partial order]]<br /> * [[Star product]]<br /> * [[Symmetric closure]]<br /> * [[Transitive closure]]<br /> <br /> | group70 = [[Topology]] &amp;amp; Orders<br /> | list70 =<br /> * [[Alexandrov topology]] &amp;amp; [[Specialization (pre)order|Specialization preorder]]<br /> * [[Ordered topological vector space]]<br /> ** [[Normal cone (functional analysis)|Normal cone]]<br /> ** [[Order topology (functional analysis)|Order topology]]<br /> * [[Order topology]]<br /> * [[Topological vector lattice]]<br /> ** [[Banach lattice|Banach]]<br /> ** [[Fréchet lattice|Fréchet]]<br /> ** [[Locally convex vector lattice|Locally convex]]<br /> ** [[Normed lattice|Normed]]<br /> <br /> | group90 = Related<br /> | list90 =<br /> * [[Antichain]]<br /> * [[Cofinal (mathematics)|Cofinal]]<br /> * [[Cofinality]]<br /> * [[Comparability]]<br /> ** [[Comparability graph|Graph]]<br /> * [[Duality (order theory)|Duality]]<br /> * [[Filter (mathematics)|Filter]]<br /> * [[Hasse diagram]]<br /> * [[Ideal (order theory)|Ideal]]<br /> * [[Net (mathematics)|Net]]<br /> ** [[Subnet (mathematics)|Subnet]]<br /> * [[Monotonic function|Order morphism]]<br /> ** [[Order embedding|Embedding]]<br /> ** [[Order isomorphism|Isomorphism]]<br /> * [[Order type]]<br /> * [[Ordered field]]<br /> * [[Ordered vector space]]<br /> ** [[Partially ordered space|Partially ordered]]<br /> ** [[Positive cone]]<br /> ** [[Riesz space]]<br /> * [[Upper set]]<br /> * [[Young's lattice]]<br /> <br /> | below =<br /> <br /> <br /> }}&lt;noinclude&gt;<br /> {{Documentation}}<br /> [[Category:Mathematics navigational boxes]]<br /> &lt;/noinclude&gt;</div>

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