3.12 (c),(d),(f) Suppose S is a subspace of the topological space X. (c) If (p.) is a sequence of points in S and pe S, then p →p in S if a (d) Every subspace of a Hausdorff space is Hausdorff.
3.12 (c),(d),(f) Suppose S is a subspace of the topological space X. (c) If (p.) is a sequence of points in S and pe S, then p →p in S if a (d) Every subspace of a Hausdorff space is Hausdorff.
Elementary Linear Algebra (MindTap Course List)
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![3.12 (c),(d),(f)
Suppose S is a subspace of the topological space X.
(c) If (p.) is a sequence of points in S and p E S, then p; → p in S if and only if p, →p in X.
(d) Every subspace of a Hausdorff space is Hausdorff.
(f) Every subspace of a second countable space is second countable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb18e28f9-de14-4142-97c7-3d6092090c20%2Fc3579c9b-359b-4283-b5b8-cf71d6f50c50%2Fow1f7bs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.12 (c),(d),(f)
Suppose S is a subspace of the topological space X.
(c) If (p.) is a sequence of points in S and p E S, then p; → p in S if and only if p, →p in X.
(d) Every subspace of a Hausdorff space is Hausdorff.
(f) Every subspace of a second countable space is second countable.
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