Could you explain how to show 5.9 in easiest possible way(in very detail)? Definition. A space X is 2nd countable if and only if X has a countable basis.Theorem 5.9. Let X be a 2nd countable space. Then X is separable.

Name: Could you explain how to show 5.9 in easiest possible way(in very deta
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: Could you explain how to show 5.9 in easiest possible way(in very detail)? Definition. A space X is 2nd countable if and only if X has a countable basis.Theorem 5.9. Let X be a 2nd countable space. Then X is separable.

we have to show that , x be a 2nd countable space then x is separable

Answered: Theorem 5.9. Let X be a 2nd countable…

Math

Advanced Math

Theorem 5.9. Let X be a 2nd countable space. Then X is separable.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 45E

See similar textbooks

Similar questions

6. In Example 3 of section 3.1, find elements and of such that but . From Example 3 of section 3.1: and is a set of bijective functions defined on .
Proof Prove that if S1 is a nonempty subset of the finite set S2, and S1 is linearly dependent, then so is S2.
7. In Example 3 of Section 3.1, find elements and of such that . From Example 3 of section 3.1: andis a set of bijective functions defined on .
Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. Prove that the set of all singular 33 matrices is not a vector space.
Complete the proof of Theorem 5.30 by providing the following statements, where and are arbitrary elements of and ordered integral domain. If and, then. One and only one of the following statements is true: . Theorem 5.30 Properties of Suppose that is an ordered integral domain. The relation has the following properties, whereand are arbitrary elements of. If then. If and then. If and then. One and only one of the following statements is true: .