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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
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https://mathoverflow.net/search?q=user:554413+[set-theory]
Posts matching 'user:554413 [set-theory]' - MathOverflow
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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
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https://mathoverflow.net/questions/tagged/set-theory?tab=Week
Most active 'set-theory' questions - MathOverflow
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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
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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...
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https://mathoverflow.net/questions/tagged/set-theory?tab=Frequent
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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 $a \neq b$...
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https://mathoverflow.net/questions/tagged/set-theory?tab=newest&page=5&pagesize=15
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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
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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
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Bountied 'set-theory' questions - MathOverflow
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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
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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
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'set-theory' Top Users - MathOverflow
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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
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https://mathoverflow.net/questions/tagged/set-theory?tab=newest&page=4&pagesize=15
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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
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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
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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
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Newest 'descriptive-set-theory' Questions - MathOverflow
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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