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Are Morphisms of a Category Order Isomorphisms?

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#abstract-algebra #category-theory #order-theory
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Maximum cardinality of a set of subsets

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#combinatorics #discrete-mathematics #order-theory #extremal-combinatorics
633
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Convergence of monotone nets

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#general-topology #order-theory #monotone-functions #nets
165
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Order Topology on a Preorder

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#general-topology #relations #order-theory #order-topology
676
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Partially ordered sets cardinality

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#elementary-set-theory #order-theory #cardinals
79
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Is there a name for an associative algebraic structure in which everything is irreducible?

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#abstract-algebra #order-theory #semigroups #idempotents #associativity
30
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Infinite descendant sequences

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#elementary-set-theory #order-theory #well-orders
128
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I heard that the empty set $\emptyset$ is bounded. But I think this statement is not correct.

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#elementary-set-theory #order-theory #upper-lower-bounds
123
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What does "$E$ is not bounded above" mean? I am confused. "Principles of Mathematical Analysis" by Walter Rudin Theorem 3.17.

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#calculus #proof-explanation #order-theory
235
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About "Principles of Mathematical Analysis" by Walter Rudin Theorem 3.17(a).

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#proof-explanation #order-theory #limsup-and-liminf
343
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Drawing balls from an urn or counting certain posets

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#combinatorics #generating-functions #order-theory
32
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Proving that exists equivalence relation $r$ in set $A$ such that $ |A \setminus r| = n$

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#order-theory #cardinals #equivalence-relations
243
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Linearly ordering the power set of a well ordered set with ZF (without AC)

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#logic #set-theory #order-theory #well-orders
47
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How to prove that for any nonempty set $A$, there exists a maximal partial order $\lambda$ with the axiom of choice?

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#order-theory
61
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Understanding minimum/maximum and minimal'maximal elements in a partial order.

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#notation #order-theory

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