Recent content by SD123

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    Example: intersection of compact sets which is NOT compact

    I assume it is the real line, and so the topological space will be (R,S). Yes I do know what open set/cover/finite sub cover mean
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    Example: intersection of compact sets which is NOT compact

    Homework Statement Let S = {(a,b) : 0 < a < b < 1 } Union {R} be a base for a topology. Find subsets M_1 and M_2 which are compact in this topology but whose intersection is not compact. Homework Equations The Attempt at a Solution I'm not even sure what it means for an element of S to be...
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    Solving Surjective Functions Homework

    Homework Statement i) Show explicitly that any non-injective function with a right inverse has another right inverse ii) Give an example of a function which has (at least) two distinct left inverses Homework Equations i) I don't believe there are any. ii) " The Attempt at a Solution...