Categories
Math

An Abstract Approach to Generating Sets 4

In this post, we continue our discussion from the previous in the series.

Categories
Math

An Abstract Approach to Generating Sets 3

In this post, we continue the discussion from the previous in the series.

Categories
Math

An Abstract Approach to Generating Sets 2

We continue the discussion from this post.

Categories
Math

An Abstract Approach to Generating Sets

In this exploration, we generalize the theory of bases in vector spaces to other settings involving “generation” by subsets, inspired by our work with “logical bases” of classes of models (see my previous exploration for context on that.) We can even try to see how this relates to concepts like the free object.