consider the relative topologies of the usual topology on R on I₁ = (2,4) and I₂ = (8,16) prove that f:1₁ → 1₂ given by f(x) = 4x is s homeomorphism

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.2: Ring Homomorphisms
Problem 6E
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consider the relative topologies of the usual topology on R on
1₁ = (2,4) and I₂ = (8,16) prove that f: 1₁ → 1₂ given by
f(x) = 4x is s homeomorphism
Transcribed Image Text:consider the relative topologies of the usual topology on R on 1₁ = (2,4) and I₂ = (8,16) prove that f: 1₁ → 1₂ given by f(x) = 4x is s homeomorphism
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