Covers the description of all solutions of the initial problem and related concepts such as compactness and closure.
Explores closure finiteness in CW complexes, proving compact subspaces are contained in finite subcomplexes through induction and characteristic maps.
Explores the Stone-Weierstrass theorem, proving uniform density of specific function families on compact sets.
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
