SOLVE problem 2.45. I posted this earlier and someone copy pasted the wrong answer from CHEGG,so only post when you know the answer. Definition 2.44. A set S is a subbasis for a topology on a set X provided US = X.The topology T on X generated by S is defined to be the collection of all unions of finiteintersections of elements of S.Problem 2.45. Can you define the basis generated by a subbasis?

Given that A set S is a sub basis for a topology on a set provided ∪S=X. The topology T on X…

Answered: Definition 2.44. A set S is a subbasis…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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SOLVE problem 2.45. I posted this earlier and someone copy pasted the wrong answer from CHEGG,so only post when you know the answer.

Definition 2.44. A set S is a subbasis for a topology on a set X provided US = X.
The topology T on X generated by S is defined to be the collection of all unions of finite
intersections of elements of S.
Problem 2.45. Can you define the basis generated by a subbasis?

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Given that

A set S is a sub basis for a topology on a set provided $\cup S = X$ . The topology T on X generated by S is defined to be the collection of all unions of finite intersections of elements of S.

To define the sub basis:

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