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Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.
Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.
Explores closure finiteness in CW complexes, proving compact subspaces are contained in finite subcomplexes through induction and characteristic maps.
Covers the proof of Hensel's Lemma and a review of field theory, including Newton's approximation and p-adic complex numbers.
Covers the concepts of interior and closure of a set in a topological space, as well as isolated points and accumulation points.
