Week - 1 |
Lattice order or posets and well-ordered sets |
Week - 2 |
Principle of transfinite induction |
Week - 3 |
Algebraic structures: Groups |
Week - 4 |
Ring |
Week - 5 |
Number systems and the construction of natural numbers |
Week - 6 |
Construction of integers |
Week - 7 |
Construction of rationals numbers |
Week - 8 |
Dedekind cuts and construction of real numbers |
Week - 9 |
Cardinality |
Week - 10 |
Schröder-Bernstein-Cantor theorem and its consequences |
Week - 11 |
Infinite sets |
Week - 12 |
Cardinal arithmetic |
Week - 13 |
Ordinal numbers |
Week - 14 |
Axiom of choice and its equivalences |