Answered: 3.12 (c),(d),(f) Suppose S is a… | bartleby

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 73CR

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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.

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