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Axiomatisation of complete ordered fields

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#logic #order-theory #real-numbers
150
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Inconsistency related to the definition of net/directed set in Kelley's General Topology

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#real-analysis #general-topology #order-theory
108
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A unit-counit-like "adjunction" for partially-ordered sets

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#reference-request #category-theory #terminology #order-theory
72
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A lattice that is "closed" w.r.t. a containing poset

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#abstract-algebra #terminology #order-theory #lattice-orders
35
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Conditions for embedding to be part of Galois connection?

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#order-theory #galois-connections
29
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Defining a partial ordered set with a function

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#functions #order-theory
109
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An interior/closure Galois connection

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#abstract-algebra #category-theory #terminology #order-theory #galois-connections
104
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$Fn(\kappa \times \omega , \omega)$ has the countable chain condition.

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#set-theory #order-theory #forcing
41
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Complete embeddings into $Fn(\kappa \times \omega, \omega)$

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#set-theory #order-theory
77
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Can I work only with complete atomistic boolean algebras instead of posets?

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#order-theory #lattice-orders #article-writing
277
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Embedding partial order into a powerset algebra

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#order-theory #lattice-orders
207
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Ordered groups: do irreducible elements always commute?

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#group-theory #order-theory #lattice-orders #ordered-groups
1.6k
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Loewner order in terms of eigenvalues

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#linear-algebra #matrices #eigenvalues-eigenvectors #order-theory #symmetric-matrices
84
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Arcs Contained In Continuous Injections of $[0,1)$

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#general-topology #metric-spaces #order-theory #foliations #continuum-theory
73
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Linear representation of continuous maps with translation-invariant level sets

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#real-analysis #linear-transformations #order-theory

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