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https://mathoverflow.net/questions/tagged/set-theory Newest 'set-theory' Questions - MathOverflow set theorynewestquestionsmathoverflow https://mathoverflow.net/questions/510550/graphs-on-omega-with-2-aleph-0-automorphisms set theory - Graphs on $\omega$ with $2^{\aleph_0}$ automorphisms - MathOverflow Is there a connected graph $G= (\omega,E)$ with the following properties? There are $2^{\aleph_0}$ isomorphisms $\varphi:G\to G$, and $K_\omega$ does not embed... set theorygraphsomegaalephmathoverflow https://mathoverflow.net/tags/set-theory/info 'set-theory' tag wiki - MathOverflow set theorytagwikimathoverflow https://mathoverflow.net/search?q=user:554413+[set-theory] Posts matching 'user:554413 [set-theory]' - MathOverflow set theorypostsmatchingusermathoverflow https://mathoverflow.net/questions/508614/how-small-can-a-set-x-subset-2-omega-be-if-it-is-able-to-distinguish-any-ult set theory - How small can a set $X \subset 2^\omega$ be if it is able to distinguish any... Let's take an $X \subset 2^\omega$ such that for any two distinct ultrafilters on $\omega$ there is a set $A \in X$ such that $A$ is in one ultrafilter but not... set theoryit issmallomegaable https://mathoverflow.net/questions/tagged/set-theory?tab=newest&pagesize=50 Newest 'set-theory' Questions - MathOverflow set theorynewestquestionsmathoverflow https://mathoverflow.net/questions/tagged/set-theory?tab=Active Recently Active 'set-theory' Questions - MathOverflow recently activeset theoryquestionsmathoverflow Sponsored https://www.kupid.ai/ Experience the Future of AI Chat with KupidAI https://mathoverflow.net/questions/tagged/set-theory?tab=Week Most active 'set-theory' questions - MathOverflow most activeset theoryquestionsmathoverflow https://mathoverflow.net/questions/510705/is-jensen-hierarchy-j-alpha-closed-under-collapsing-short-well-orders set theory - Is Jensen hierarchy $J_\alpha$ closed under collapsing short well-orders? -... set theoryjensenhierarchyalphaclosed https://mathoverflow.net/questions/tagged/set-theory?tab=newest&page=398&pagesize=15 Newest 'set-theory' Questions - Page 398 - MathOverflow set theorynewestquestionsmathoverflow https://philosophy.stackexchange.com/questions/tagged/set-theory Newest 'set-theory' Questions - Philosophy Stack Exchange set theorystack exchangenewestquestionsphilosophy https://mathoverflow.net/questions/510361/filters-on-mathbbn-and-fast-functions set theory - Filters on $\mathbb{N}$ and fast functions - MathOverflow For a function $f : \omega \to \omega$, let us say a function $g : \omega \to \omega$ is $f$-fast growing if eventually $g(n+1)/g(n) \geq f(n)$. For natural... set theoryfiltersfastfunctionsmathoverflow https://mathoverflow.net/questions/tagged/set-theory?tab=newest&pagesize=30 Newest 'set-theory' Questions - MathOverflow set theorynewestquestionsmathoverflow https://mathoverflow.net/questions/510100/omega-as-a-power set theory - $\omega$ as a power - MathOverflow Background. A set $X$ is Dedekind-finite, or D-finite, if every injection $\iota:X\to X$ is surjective. In ${\sf ZF}$, if $X$ is a D-finite set, its powerset... set theoryomegapowermathoverflow Sponsored https://www.blackedraw.com/ BLACKED RAW: Unfiltered Encounters with Powerful Men in 4K https://mathoverflow.net/questions/tagged/set-theory?tab=Frequent Frequent 'set-theory' Questions - MathOverflow set theoryfrequentquestionsmathoverflow https://mathoverflow.net/questions/21409/the-delta-system-lemma-outside-set-theory soft question - the delta system lemma outside set theory - MathOverflow The lemma: Any uncountable set $S$ of finite sets has an uncountable subset $\Delta \subseteq S$ and an $x$ such that $\forall a,b \in \Delta$, if $a \neq b$... the deltaset theorysoftquestionsystem https://mathoverflow.net/questions/tagged/set-theory?tab=newest&page=5&pagesize=15 Newest 'set-theory' Questions - Page 5 - MathOverflow set theorypage 5newestquestionsmathoverflow https://mathoverflow.net/questions/21409/the-delta-system-lemma-outside-set-theory?noredirect=1 soft question - the delta system lemma outside set theory - MathOverflow The lemma: Any uncountable set $S$ of finite sets has an uncountable subset $\Delta \subseteq S$ and an $x$ such that $\forall a,b \in \Delta$, if $a \neq b$... the deltaset theorysoftquestionsystem https://mathoverflow.net/questions/510051/proper-forcing-notions-which-preserve-some-but-not-all-meager-sets set theory - Proper forcing notions which preserve some, but not all meager sets - MathOverflow Given a nonmeager set $A \subseteq \omega^\omega$ and a forcing notion $\mathbb P$ say that $\mathbb P$ preserves $A$ nonmeager if $\Vdash_\mathbb P$ "$A$ is... set theoryproperforcingnotionspreserve Sponsored https://www.comixharem.com/ Comix Harem https://mathoverflow.net/questions/504710/why-zermelo-postulated-the-existence-of-a-set-with-no-finite-limit-to-the-ranks set theory - Why Zermelo postulated the existence of a set with no finite limit to the ranks of its... The original Zermelo set theory explicitly allowed for urelements. What was the reason that led Zermelo to formulate the Axiom of Infinity in terms of the... set theoryexistencefinitelimitranks https://mathoverflow.net/questions/tagged/set-theory?tab=Bounties Bountied 'set-theory' questions - MathOverflow set theorybountiedquestionsmathoverflow https://mathoverflow.net/questions/510040/how-large-is-the-smallest-ordinal-gamma-such-that-every-ittm-countable-limit set theory - How large is the smallest ordinal $\gamma$ such that every ITTM-countable-limit... It is known that every ITTM-recognizable real number $x$ (i.e., $x \subseteq \omega$) is an element of $L_\sigma$, where $\sigma$ is the smallest ordinal such... set theorylargesmallestgammaevery https://mathoverflow.net/questions/tagged/set-theory?tab=newest&page=3&pagesize=15 Newest 'set-theory' Questions - Page 3 - MathOverflow set theorypage 3newestquestionsmathoverflow https://mathoverflow.net/questions/tagged/set-theory?tab=Month Most active 'set-theory' questions - MathOverflow most activeset theoryquestionsmathoverflow https://math.stackexchange.com/questions/5134751/the-size-of-ls-cardinals set theory - the size of L's cardinals - Mathematics Stack Exchange Gödel's Constructible Universe L is an interesting model of ZF, since it showed the consistency of GCH and AC with ZF's axioms. However, that isn't important... set theorystack exchangesizecardinalsmathematics https://mathoverflow.net/questions/tagged/set-theory?tab=Newest Newest 'set-theory' Questions - MathOverflow set theorynewestquestionsmathoverflow https://mathoverflow.net/questions/tagged/set-theory?tab=Trending Trending 'set-theory' questions - MathOverflow set theorytrendingquestionsmathoverflow https://mathoverflow.net/tags/set-theory/topusers 'set-theory' Top Users - MathOverflow set theorytop usersmathoverflow https://mathoverflow.net/questions/510151/what-are-some-advantages-of-set-theory-compared-to-type-theory-for-mathematical What are some advantages of set theory compared to type theory for mathematical research... What are some of the "advantages", as it were, of set theory compared to type theory when it comes to mathematical research (whether or not the topic has to do... set theoryadvantagescomparedtypemathematical https://mathoverflow.net/questions/tagged/set-theory?tab=Unanswered Unanswered 'set-theory' Questions - MathOverflow set theoryunansweredquestionsmathoverflow https://mathoverflow.net/questions/tagged/set-theory?tab=newest&page=4&pagesize=15 Newest 'set-theory' Questions - Page 4 - MathOverflow set theorypage 4newestquestionsmathoverflow https://mathoverflow.net/questions/509991/does-mathsfizf-mathrmrep-prove-that-l-omega-1-mathrmck-is-a set theory - Does $\mathsf{IZF}_{\mathrm{Rep}}$ prove that $L_{\omega_1^{\mathrm{CK}}}$ is a model... Let $\def\IZF{\mathsf{IZF}_{\mathrm{Rep}}}\IZF$ be intuitionistic Zermelo-Fraenkel set theory with the replacement scheme. (See this SEP article for a... set theoryrepproveomegack https://mathoverflow.net/questions/tagged/set-theory?tab=newest&page=2&pagesize=15 Newest 'set-theory' Questions - Page 2 - MathOverflow set theorypage 2newestquestionsmathoverflow https://math.stackexchange.com/questions/tagged/set-theory Newest 'set-theory' Questions - Mathematics Stack Exchange set theorystack exchangenewestquestionsmathematics https://mathoverflow.net/questions/330710/whats-the-minimal-weight-of-a-maximal-space set theory - What's the minimal weight of a maximal space? - MathOverflow A non-empty topological space without isolated points is called maximal if every finer topology on that space has at least an isolated point. The existence of... set theoryminimalweightmaximalspace https://mathoverflow.net/questions/tagged/set-theory?tab=Votes Highest scored 'set-theory' questions - MathOverflow set theoryhighestscoredquestionsmathoverflow https://mathoverflow.net/tags/set-theory/synonyms 'set-theory' Tag Synonyms - MathOverflow set theorytagsynonymsmathoverflow https://mathoverflow.net/questions/508707/existence-of-limit-intersection-in-an-omega-1-chain-of-almost-decreasing-subs set theory - Existence of limit intersection in an $\omega_1$-chain of almost decreasing subsets of... set theoryin anexistencelimitintersection https://mathoverflow.net/questions/tagged/set-theory?tab=newest&pagesize=15 Newest 'set-theory' Questions - MathOverflow set theorynewestquestionsmathoverflow https://mathoverflow.net/questions/tagged/descriptive-set-theory Newest 'descriptive-set-theory' Questions - MathOverflow set theorynewestdescriptivequestionsmathoverflow https://mathoverflow.net/questions/508654/a-weak-lozenge-principle set theory - A weak $\lozenge$ principle - MathOverflow (This is probably unrelated to Devlin-Shelah's weak diamond principle $\Phi$, but I didn't know what else to call it.) Say a sequence $\vec{A} = \langle... set theoryweaklozengeprinciplemathoverflow https://mathoverflow.net/questions/510629/asymptotic-behaviour-of-difference-set-of-smooth-numbers nt.number theory - Asymptotic behaviour of difference set of smooth numbers - MathOverflow As usual, a $k$ smooth number is an integer that has no prime factor exceeding $k$. For each fixed constant $k$, let $A$ be the set of $k$ smooth numbers. The... number theoryntbehaviourdifferenceset https://mathoverflow.net/questions/508322/is-there-any-known-application-of-abstract-tangle-theory-in-logic-or-set-theory lo.logic - Is there any known application of abstract tangle theory in logic or set theory? -... In the last few years, graph theorists have taken Seymour/Robertson's notion of a tangle and generalized it to an abstract version based on the definition of a... loknownapplicationabstracttangle