Search Results: Wellordering theorem


Well-order
Kamis, 2026-07-16 00:36:49

and textbooks these terms are instead written as wellorder, wellordered, and wellordering or well order, well ordered, and well ordering. Every non-empty...

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Well-ordering theorem
Minggu, 2026-03-22 06:32:01

In mathematics, the well-ordering theorem, also known as Zermelo's theorem, states that every set can be well-ordered. A set X is well-ordered by a strict...

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Group structure and the axiom of choice
Minggu, 2026-02-01 21:12:35

elements of subsets of wellordered sets are unique. It is, by elementary group theory, injective. Finally, define a wellordering on X by x < y if j(x)...

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Theta (set theory)
Rabu, 2025-12-03 11:55:41

such a cardinal would have additional consequences. If the reals can be wellordered, then Θ {\displaystyle \Theta } is simply ( 2 ℵ 0 ) + {\displaystyle...

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Ordinal analysis
Jumat, 2026-08-14 07:08:51

arithmetic" (2017) F. Ranzi, From a Flexible Type System to Metapredicative Wellordering Proofs. Doctoral thesis, University of Bern, 2015. A. Cantini, "On the...

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Scale (descriptive set theory)
Rabu, 2021-03-10 15:23:26

applications such as establishing bounds on the possible lengths of wellorderings of a given complexity, and showing (under certain assumptions) that...

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Inductive type
Minggu, 2026-03-15 16:29:25

S2CID 15020752. Dybjer, Peter (1997). "Representing inductively defined sets by wellorderings in Martin-Löf's type theory". Theoretical Computer Science. 176 (1–2):...

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Prewellordering
Senin, 2025-02-03 10:27:05

{\displaystyle \leq } induces a wellordering on the quotient X / ∼ . {\displaystyle X/{\sim }.} The order-type of this induced wellordering is an ordinal, referred...

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Core model
Jumat, 2026-01-16 06:45:11

ingredient of the construction is the comparison lemma that allows giving a wellordering of the relevant mice. At the level of strong cardinals and above, one...

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Dehornoy order
Selasa, 2026-07-28 17:01:48

doi:10.1016/0022-4049(95)00147-6, MR 1382244 Burckel, Serge (1997), "The wellordering on positive braids", Journal of Pure and Applied Algebra, 120 (1): 1–17...

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