topology

A collection of 14 posts

Mar 31, 2017

Metric Spaces (2)

Metric Spaces (2)

Looking back through my first post about metric spaces, it occurred to me that I should probably have emphasized a few things that could be a bit confusing, so let me address those first before pressing forward.

Mar 30, 2017

Metric Spaces (1)

Metric Spaces (1)

Taken by themselves, sets do not have much structure to them. They are essentially barren wastelands with no relationships at all between their elements. In this post we will remedy that by defining a way to add a measure of proximity to the points in a set.