query: What is the strength of a stationary costationary subset of $\omega_1$?
positive_passages.docid: 148032
positive_passages.text: Consistency strength of the "club ultrafilter"
negative_passages.docid: 6270
negative_passages.text: Poincaré inequality for a subspace of $H^1(\Omega)$
negative_passages.docid: 63313
negative_passages.text: Uniqueness of Powerseries in an arbitrarily small neighborhood of $0$ in $\mathbb C$
negative_passages.docid: 132537
negative_passages.text: Class of sets of a given infinite cardinality
negative_passages.docid: 21881
negative_passages.text: Prove that $\forall\alpha\geq\omega$, $|L_\alpha|=|\alpha|$ without AC
negative_passages.docid: 144735
negative_passages.text: Possible cardinality of power sets
negative_passages.docid: 80559
negative_passages.text: In $C[0,1]$ prove that the subset of Lipschitz functions is dense
negative_passages.docid: 148516
negative_passages.text: Proof that $\omega^\omega$ is completely metrizable and second countable
negative_passages.docid: 109570
negative_passages.text: How to show that the set of points of continuity is a $G_{\delta}$
negative_passages.docid: 92571
negative_passages.text: Sets with no asymptotical density over $\mathbb N$
negative_passages.docid: 66301
negative_passages.text: The cardinality of the set of countably infinite subsets of an infinite set
negative_passages.docid: 66299
negative_passages.text: Operator whose spectrum is given compact set
negative_passages.docid: 113614
negative_passages.text: Approximating the density of $S\cap[a,b]$ using a Folner Sequence of $A$, where $S \subseteq A$?
negative_passages.docid: 51134
negative_passages.text: If $E \in \sigma(\mathcal{C})$ then there exists a countable subset $\mathcal{C}_0 \subseteq \mathcal{C}$ with $E \in \sigma(\mathcal{C}_0)$
negative_passages.docid: 17212
negative_passages.text: The preimage of a subset
negative_passages.docid: 73154
negative_passages.text: Compact subset in colimit of spaces
negative_passages.docid: 146204
negative_passages.text: Subsets sharing at most $i$ elements