Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
The Jordan Curve TheoremExplores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Recognizing a QuotientDiscusses the recognition of a quotient in topology and the properties of the quotient topology.
Open Mapping TheoremExplains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.