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Understanding the definition of chain

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#definition #order-theory
2.4k
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Countable ordinals are embeddable in the rationals $\Bbb Q$ -- proofs and their use of AC

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#set-theory #order-theory #axiom-of-choice #ordinals
56
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Contronominal property

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#order-theory
352
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Show that Total Orders does not have the finite model property

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#logic #order-theory #model-theory
321
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What is cofinality of $(\omega^\omega,\le)$?

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#set-theory #order-theory #infinitary-combinatorics
873
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Self-adjoint projections of a C*-algebra as complete lattices?

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#functional-analysis #operator-theory #order-theory #operator-algebras #c-star-algebras
377
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Do closure operators on arbitrary posets give rise to complete lattices?

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#order-theory #lattice-orders
690
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Order automorphisms of rationals

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#order-theory #rational-numbers
2.4k
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If each subset of $L$ with an upper bound has a least upper bound, then each subset with a lower bound a a greatest lower bound

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#elementary-set-theory #order-theory
135
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Order type of the real algebraic numbers

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#order-theory #rational-numbers
287
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Composition $R \circ R$ of a partial ordering $R$ with itself is again a partial ordering

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#elementary-set-theory #relations #order-theory
3.4k
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Union of two partial orderings

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#relations #order-theory
878
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Does a lower bounded set always have an infimum?

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#elementary-set-theory #order-theory
203
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Is a finite subset of a partially ordered set bounded?

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#elementary-set-theory #order-theory
334
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Totally ordered sets

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#elementary-set-theory #order-theory

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