Closure Finiteness of CW ComplexesExplores closure finiteness in CW complexes, proving compact subspaces are contained in finite subcomplexes through induction and characteristic maps.
Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Compact-open topologyCovers the compact-open topology, defining maps between spaces and discussing continuous maps and preimages in topology.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.