ABSTRACT

Now that we have completed a construction of the real numbers with all its familiar properties and seen a large variety of examples and basic results, let’s go through how we can modify the procedure we used to complete ℚhttps://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315166209/ca8d5048-0ada-4280-9f99-fd3bb3017999/content/ieq0446.tif"/> to complete an arbitrary metric space (X, d).