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A question related to cofinality and cofinal subclass

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#elementary-set-theory #ordinals
562
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Order Type of $[\omega_\alpha]^{<\omega}$ in Well-Ordering of Finite Sequences of Ordinals

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#set-theory #cardinals #ordinals #well-orders
1.2k
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Intuition and "proof" of transfinite recursion

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#set-theory #ordinals #transfinite-recursion
389
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Axiom of choice and the well ordering principle

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#set-theory #axiom-of-choice #ordinals #well-orders
1.3k
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Well ordering on the ordinal numbers

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#set-theory #ordinals #well-orders
575
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Intuitive approach to cofinality

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#set-theory #ordinals #well-orders
139
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Transfinite ordinals as indices of set

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#set-theory #ordinals
242
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$\omega_1$ as seen by the reals

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#set-theory #model-theory #axiom-of-choice #ordinals #descriptive-set-theory
1.5k
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Surcomplex numbers and the largest algebraically closed field

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#field-theory #ordinals #surreal-numbers
787
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Fastest way to defeat the Kirby-Paris hydra?

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#graph-theory #optimization #ordinals
189
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Cofinality of Well-Ordered Proper Classes

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#set-theory #ordinals
263
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Is every countable ordinal completely metrizable?

Published on
#general-topology #ordinals
840
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Trouble understanding that the rank of an ordinal is equal to itself

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#set-theory #ordinals
272
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Rank of a well-founded set is one plus the supremum over the ranks of its elements

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#set-theory #ordinals
49
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Countable subtrees with given order

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#set-theory #model-theory #trees #ordinals #infinite-graphs

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