数学联邦政治世界观
超小超大

终极L(数学论文)一 (14-3)

Definition 1.1. Suppose that α is a limit ordinal such that α>0.We say that an uncountable regular cardinal κ is α-tremendous if there exists an increasing sequence of cardinals 〈κᵦ:β<α〉such that Vκᵦ ≺Vκ for all β<α ,and if n>1 and〈βᵢ:i<n〉is an increasing sequence of ordinals less than α,then if β₀ ≠ 0 then for all β'<β₀ there is an elementary embedding j:Vκᵦₙ₋₂ ≺ Vκᵦₙ₋₁,with critical point κᵦ' and

j(κᵦ')=κᵦ₀ and j(κᵦ₁)=κᵦᵢ₊₁ for all i such that

0 ≤ i<n – 2,and if β₀=0 then there is an elementary embedding j:Vκᵦₙ₋₂ ≺ Vκᵦₙ₋₁ withcritical point κ'<κ₀ and j(κ')=κ₀ and j(κᵦᵢ) =κᵦᵢ₊₁ for all i such that 0 ≤ i<n – 2.

Definition 1.2.A cardinal κ such that κ is κ-tremendous is said to be hyper-tremendous.

Definition 1.3.Suppose that α is a limit ordinal such that α>0,and that〈κᵦ:β<α〉together with a family F of elementary embeddings witness that κ is α-tremendous,with just one embedding in the family F witnessing α-tremendousness for each finite sequence of ordinals less than α.Suppose that,given any ω-sequence of ordinals〈βᵢ:i<ω〉less than α,there is an elementary embedding j:Vλ₊₁ ≺ Vλ₊₁ with critical sequence 〈κᵦᵢ:i<ω〉,obtained by gluing together the obvious ω-sequence of embeddings from F,where λ:= supₙ∈ω κᵦₙ . Suppose further that there is an elementary embedding k:V ≺ M,fixing all regular cardinals greater than λ,with Vλ ⊆ M and (Vλ₊₁)ᴹ ≺ Vλ₊₁,and k│Vλ=j│Vλ. If β:=supₙ∈ω βₙ<α then let ρ:=κᵦ,otherwise let ρ:=κ . Suppose that.whenever we have Vλ₊₁ ⊆ S ⊆ Vᵨ and

数学联邦政治世界观提示您:看后求收藏(同人小说网http://tongren.me),接着再看更方便。

相关小说

在剧情跑龙套 连载中
在剧情跑龙套
咖啡_5
林意莫名其妙的来到了另一个世界,在另一个世界从嘤嘤啼哭的小婴儿长大成豆蔻年华的少女,却不曾想某一天她发现原来自己是穿进书里来了了,穿的既不是......
67.1万字8个月前
暗黑十三星 连载中
暗黑十三星
夏咏初
蛇夫把她的脸按在地上摩擦,她原地发疯:“我既没杀你爸又没杀你妈,你凭什么杀我!”起因是星空破碎,蛇夫带着八十七个本体造反。无奈之下,天蝎坠落......
63.4万字8个月前
如何杀死我最好的朋友 连载中
如何杀死我最好的朋友
青衫江逸
“杀一个人要分几步?”“选择一种杀人方法,找一个作案地点,杀掉对方,然后把尸体处理掉”“似乎并不难”“杀死你最好的朋友需要分几步?”“这个就......
0.5万字8个月前
KPL:混杂 连载中
KPL:混杂
恒_LH
【彼方冬屿】一些无脑的CP文合集更新时间:每周六周日三更,若有特殊情况会告知CP随机(也可投稿CP写作故事)内容纯属虚构阳一:已完结桃酷:连......
4.1万字8个月前
帝君魔后 连载中
帝君魔后
花诵约
[已完结]帝君外出一趟带回来一个刚刚及笄的小丫头,还为她遣散了“后宫”。众人议论纷纷,以为帝君喜欢养成系君后。结果小姑娘到了宫殿第一件事是离......
31.6万字8个月前
蓝天画,你!还是你吗? 连载中
蓝天画,你!还是你吗?
慕容幻画
本人用的是电脑,所以有一些不好的地方还请各位多多指教!本文以末画为主题,其他的偶尔会写,这一篇文是蓝天画和菲梦少女里的!
1.8万字8个月前