What is a metric space ?

Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more general than R^k, and in fact a lot of results that we have in R (like convergence and compactness) can generalize easily to those spaces. Enjoy!

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Видео What is a metric space ? канала Dr Peyam