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Characterization of real intervals $[a,b]$ as posets

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#order-theory #real-numbers
230
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What posets admit a strictly increasing real-valued function?

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#order-theory #monotone-functions
33
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Symmetry in a sequence of linear orders

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#permutations #order-theory #symmetry
74
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small chains guarantee existence of big independent set?

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#set-theory #order-theory
194
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Prove that convex real functions on [0,1] form a meet-semilattice

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#functions #convex-analysis #order-theory #lattice-orders
165
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Nicest Way to Put a Topology on a Directed Set so that Definition of Limit Remains Unchanged?

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#real-analysis #general-topology #definition #order-theory #nets
233
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How to apply Zorn's Lemma to prove cardinalities are a total order?

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#elementary-set-theory #order-theory #axiom-of-choice #transfinite-induction
97
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Need reference for seemingly trivial statement.

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#elementary-set-theory #reference-request #order-theory
1k
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The subset of the positive reals has no smallest element

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#proof-verification #elementary-set-theory #proof-explanation #order-theory
717
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definition of an infinite descending chain

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#terminology #order-theory
327
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Subsets of a partial order relation

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#relations #order-theory
229
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Doubt regarding greatest lower bound property implies least upper bound property

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#real-analysis #discrete-mathematics #elementary-set-theory #order-theory #real-numbers
71
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Equivalence relation & partition definitions: IT goal or a mathematical motivation?

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#computer-science #order-theory
187
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What is the Hasse Diagram to this partial order?

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#discrete-mathematics #order-theory
643
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Is this poset well-founded?

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#discrete-mathematics #order-theory

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