query: Regular Lindelöf space is Normal
positive_passages.docid: 24699
positive_passages.text: A regular, Lindelöf space is normal
negative_passages.docid: 71819
negative_passages.text: Prove that $H$ is normal.
negative_passages.docid: 116146
negative_passages.text: A cardinal $\kappa$ such that $2^{\lambda}<\kappa$ for all $\lambda<\kappa$ is regular?
negative_passages.docid: 20437
negative_passages.text: Closed surjection that does not preserve regularity
negative_passages.docid: 69893
negative_passages.text: An inner product space and its proper closed subspace with trivial orthogonal complement
negative_passages.docid: 139176
negative_passages.text: The real line is not homeomorphic to any non-trivial product space
negative_passages.docid: 81471
negative_passages.text: Finite dimensional spaces
negative_passages.docid: 124179
negative_passages.text: Proof that every metric space is normal
negative_passages.docid: 31113
negative_passages.text: Why is normal ordering a valid operation?
negative_passages.docid: 115851
negative_passages.text: Why is this quotient space not Hausdorff?
negative_passages.docid: 154625
negative_passages.text: $\operatorname{span}(x^0, x^1, x^2,\cdots)$ and the vector space of all real valued continuous functions on $\Bbb R$
negative_passages.docid: 121626
negative_passages.text: Every open cover of the real numbers has a countable subcover (Lindelöf's lemma)
negative_passages.docid: 63285
negative_passages.text: Prove that this space is not Banach
negative_passages.docid: 138167
negative_passages.text: Image of a normal space under a closed and continuous map is normal
negative_passages.docid: 150605
negative_passages.text: Existence of a regular uncountable $\aleph_{\alpha}$ without $\mathsf{AC}$
negative_passages.docid: 102924
negative_passages.text: Normal space- equivalent condition: $\forall U, V$ - open $: U \cup V = X \ \ \ \exists F \subset U \ , G \subset V$ - closed $: F \cup G = X$
negative_passages.docid: 15645
negative_passages.text: Is convex open set in $\mathbb{R}^n$ is regular?