Topology
Open sets and continuity without distances, connectedness, and invariants such as the Euler characteristic.
5 planned
No page in this subject is open yet. The planned list below shows what is coming, in learning order.
Planned
In learning order. These are not pages yet.
- Why V − E + F never changes: the Euler characteristicIntro
- Open and closed sets, from distance to topologyAdvanced undergrad
- Three ways to measure distance in the planeAdvanced undergrad
- Connected but not path-connected: the topologist's sine curveAdvanced undergrad
- Continuity without ε: preimages of open setsAdvanced undergrad
How it connects
Builds on Real analysis
Leads to Geometry
Subjects marked “connection” are linked by a related idea, not by a prerequisite.