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Meta
Category Archives: Analysis
A Eulogy Of Lipschitz Maps
A Lipschitz map (/function) is one that does not extend distances by more than a pre-assigned factor: f:X⟶Y is Lipschitz if there exists an L∈R such that $$ \forall x, \ \ \forall y \ … Continue reading
Posted in Analysis, Math
Tagged Change of Variables, Lipschitz Maps, Luzin N Property, Radamacher's Theorem
1 Comment
Intersection of a Chain of Subsets
Assume {Fx}x∈Γ is a collection of subsets (of a not-so important set!) such that every two are comparable, i.e for any x and y, either Fx⊂Fy or $\ \ F_x \supset F_y \ … Continue reading