Sumários
Lecture 10
29 Setembro 2025, 11:30 • Alexandra Symeonides
3. First topological definitions
Closure of a set and characterizations of the closure
ex 3.3.4 b)
Lecture 8
24 Setembro 2025, 10:00 • Alexandra Symeonides
Exercises 2.3.4 c), 2.3.5 d), 2.3.9.
2.4.1 Finite Parts of R
2.4.2 Definition of Numerable set
Lecture 7
22 Setembro 2025, 11:30 • Alexandra Symeonides
2. The Real line
Supremum, infimum, maximum and minimum. Axiom of the supremum. Characterization of the supremum.
Exercise 2.3.4 a)b)
Lecture 6
17 Setembro 2025, 11:30 • Alexandra Symeonides
Properties of operations between sets. Third De Morgan Laws. Difference between two sets.
Resolution of the exercises 1.7.1.b), 1.7.3, 1.7.4.
Discussion with the students of exercises 1.6.3 b)c)d), 1.7.1c), 1.7.2