Answered: Let (X,m, µ) be a major space and (Y,?)…

Let (X,m, µ) be a major space and (Y,?) be a topological space. Let f:X→Y be a function. Assume Ω={E⊆Y:f^-1 (E) ∈m} prove that Ω is a σ- algebra.

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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Let (X,m, µ) be a major space and (Y,?) be a topological space.

Let f:X→Y be a function.

Assume Ω={E⊆Y:f^-1 (E) ∈m}

prove that Ω is a σ- algebra.

please do not provide solution in image format thank you!

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