Hello quantum enthusiasts,
The majority chose July 2 as the new preferred start date! The registration page for the first lecture is now up via https://www.crowdcast.io/e/topology-crash-course.
I'll cover very minimal stuff in lecture 1 to not hit you too hard! Most likely only the following core concepts:
Topological Spaces
Closed Sets
Subspace Topology
Neighbourhoods
Hausdorff Spaces
Finally, I've decided to do a brief introduction to fibre bundles in the manifold section! If we have time extra time, we may also cover the algebra of smooth maps. Other stuff like the diffeomorphism group are more suitable in module 2 later this year. However, you’ll be exposed to diffeomorphisms including local diffeomorphisms in the crash course.
With this, I wish you a happy week!
Bambordé