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15
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Preorders, chains, cartesian products, and lexicographical order

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#set-theory #order-theory #relations
944
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Down-sets in posets and directed sets

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#category-theory #order-theory
321
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Set of maximal chains in $\langle\mathcal{P}(\mathbb{N}),\subseteq\rangle$

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#elementary-set-theory #order-theory #ordinals
229
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Are homeomorphisms order-isomorphisms?

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#general-topology #order-theory
217
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Is every order isomorphism of sets induced by a bijection?

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#set-theory #order-theory
210
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Does an isomorphism induce an order isomorphism?

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#general-topology #category-theory #order-theory
244
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Poset of idempotents

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#ring-theory #order-theory
258
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Is $\pmb{\eta}\cdot\pmb{\omega_1} = (\pmb{\eta} + \pmb{1})\cdot\pmb{\omega_1}$?

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#set-theory #order-theory #ordinals
503
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Is $(\pmb{1} + \pmb{\eta})\cdot\pmb{\omega_1} = \pmb{1} + \pmb{\eta}\cdot\pmb{\omega_1}$?

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#set-theory #order-theory #ordinals
696
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Linearly ordered sets "somewhat similar" to $\mathbb{Q}$

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#set-theory #order-theory #ordinals
516
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Examples of preorders in which meets and joins do not exist

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#elementary-set-theory #definition #examples-counterexamples #order-theory
557
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Uniqueness of meets and joins in posets

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#order-theory #relations
471
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$<$ on a preorder is a strict partial order

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#set-theory #order-theory #relations
794
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An order type $\tau$ equal to its power $\tau^n, n>2$

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#set-theory #order-theory #ordinals
301
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Are there larger than countable chains in the join-semilattice of Turing degrees?

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#computability #order-theory #lattice-orders

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