Topology vs algebra vs geometry

Redirect to:

• Topology

I tried to illustrate the relation between topology, algebra, and geometry using delicious donuts.

It may be seem strange to some that topology is related to counting but consider the fact that the key step here is to recognize that these are separate – disconnected -- objects! (There are also two holes.) As you can see both computing and measuring have to rely on counting, at least initially. So, yes, topology comes first.

Note: We distinguish here between

• topology, algebra, and geometry as mathematical structures,

and

• Topology, Algebra, and Geometry as disciplines within Mathematics.