- categories: Real Analysis, Theorem
Every Metric space has a completion that is isometrically embedded in Idea of the proof: define equivalent classes if difference of two sequences become small (limit goes to 0)
Nov 14, 2024
Nov 12, 2024
Oct 15, 20241 min read
Every Metric space (X,d) has a completion (X⋆,d) that is isometrically embedded in X Idea of the proof: define equivalent classes if difference of two sequences become small (limit goes to 0)