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Let F = {Fα : α ∈ A} be a family of compact subsets of R. Prove that an intersection, α∈A, Fα is compact.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.5: Permutations And Inverses

Problem 5E: Let f:AA, where A is nonempty. Prove that f a has right inverse if and only if f(f1(T))=T for every...

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Let F = {F_α: α ∈ A} be a family of compact subsets of R. Prove that an intersection, α∈A, F_α is compact.

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