query: Closed subset of $L^1([0,1])$
positive_passages.docid: 117508
positive_passages.text: Prove that the closed unit ball of $L^2[a,b]$ is closed in $L^1[a,b]$
negative_passages.docid: 82628
negative_passages.text: Cardinality of a set of closed intervals
negative_passages.docid: 155063
negative_passages.text: Is Cl(f(A)) a subset of f(Cl(A))?
negative_passages.docid: 46698
negative_passages.text: Showing a set is closed under inverses
negative_passages.docid: 13575
negative_passages.text: Need help for proving that: $f(f^{-1}(A)) ⊆ A$
negative_passages.docid: 55374
negative_passages.text: Cover of (0,1) with no finite subcover & Open sets of compact function spaces
negative_passages.docid: 84510
negative_passages.text: If $f(\mathbb{C})\subset \mathbb{C}-[0,1]$ then $f$ is constant
negative_passages.docid: 128844
negative_passages.text: An empty intersection of decreasing sequence of closed sets
negative_passages.docid: 3896
negative_passages.text: A closed set in $(A, \mathcal T_A)$ that is not closed in $(X, \mathcal T)$
negative_passages.docid: 18596
negative_passages.text: A set $A \subset l_1$ is compact if and only if closed, bounded, and one other condition
negative_passages.docid: 45219
negative_passages.text: Proving that $C$ is a subset of $f^{-1}[f(C)]$
negative_passages.docid: 34964
negative_passages.text: Recursive representation of closed sets in Baire Space ($\Sigma^1_1$)
negative_passages.docid: 49374
negative_passages.text: Closure of a subset in a metric space
negative_passages.docid: 127173
negative_passages.text: Closed subset of compact set is compact
negative_passages.docid: 156101
negative_passages.text: Is the convex hull of closed set in $\mathbb R^{n}$ is closed?
negative_passages.docid: 129371
negative_passages.text: Maximal ideals in the ring of real functions on $[0,1]$
negative_passages.docid: 140225
negative_passages.text: Linear transformation maps the first quadrant to a closed set