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15
35
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Formalizing an application of axiom of choice

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#order-theory #axiom-of-choice
78
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(Only) Preserving divisibility functions from $ \mathbb{N} $ to $ \mathbb{N} $.

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#discrete-mathematics #order-theory
76
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On a decomposition of pairs in the transitive closure $T$ of an arbitrary relation $R$

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#elementary-set-theory #relations #order-theory #well-orders
66
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The $\forall$-theory of $(\mathbb{R}; \leq)$

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#order-theory #model-theory
60
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What's wrong with this proof that $|\omega_1|\ge2^{\aleph_0}$?

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#solution-verification #order-theory #cardinals
47
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If $(X,\preccurlyeq)$ is a totally ordered set equipped with the order topology then which is the closure of $(x_1,x_2)$ for $x_1\prec x_2$?

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#general-topology #elementary-set-theory #set-theory #examples-counterexamples #order-theory
59
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Does an uncountable directed set have an infinite bounded subset?

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#elementary-set-theory #logic #set-theory #order-theory
79
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If $Y$ is a closed and bounded subset of an ordered space $X$ then is it compact?

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#general-topology #examples-counterexamples #order-theory #well-orders
23
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Can the partial order of S induce a parital order on Y?

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#order-theory
110
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Does $(f^{0})^{0} = f$ hold for suplattice homomorphisms?

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#abstract-algebra #order-theory #supremum-and-infimum #lattice-orders
175
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Is the category of sup-lattices rigid?

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#category-theory #tensor-products #order-theory #lattice-orders #monoidal-categories
49
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Least upper bound of a poset

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#multivariable-calculus #order-theory
76
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Order relation in $\mathbb{Q}$

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#order-theory
56
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Compacts are principals

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#order-theory
41
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Equivalence between two definitions of a compact element

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#order-theory

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