query: Question about intersection of connected subspaces in a Hausdorff space
positive_passages.docid: 26919
positive_passages.text: Intersection of Connected Sets
negative_passages.docid: 155999
negative_passages.text: How to prove the following properties of infimum and supremum involving the union and intersection of the sets $A_k$
negative_passages.docid: 100560
negative_passages.text: $X$ compact Hausdorff space, characterize the maximal ideals of $C(X)$
negative_passages.docid: 14713
negative_passages.text: $X=(-\infty,0]\cup\left\{{1\over n}:n\in\mathbb N\right\}$ with subspace topology Then
negative_passages.docid: 15576
negative_passages.text: Addition of two subspaces
negative_passages.docid: 135814
negative_passages.text: Prove certain subsets of $\mathbb R^n$ are subspaces
negative_passages.docid: 41339
negative_passages.text: Why do we require a topological space to be closed under finite intersection?
negative_passages.docid: 65494
negative_passages.text: Proper subspaces of $ R^n $
negative_passages.docid: 115625
negative_passages.text: Intersection of two open dense sets is dense
negative_passages.docid: 149426
negative_passages.text: Is there a Hausdorff space $X$ separating points of any Hausdorff space?
negative_passages.docid: 106756
negative_passages.text: Union and Intersection of Sets $A_{i}$ and $B_{j}$
negative_passages.docid: 59531
negative_passages.text: Do $T$-invariant subspaces necessarily have a $T$-invariant complement?
negative_passages.docid: 106606
negative_passages.text: How to prove that compact subspaces of the Sorgenfrey line are countable?
negative_passages.docid: 150796
negative_passages.text: Subspace topology and order topology (2)
negative_passages.docid: 150135
negative_passages.text: The intersection of an infinite number of subspaces is a subspace
negative_passages.docid: 65180
negative_passages.text: A compact Hausdorff space that is not metrizable
negative_passages.docid: 63697
negative_passages.text: connected subspaces need to lie in one separated component