WEEK 1 :
Set Theory, Relations and Functions
WEEK 2 :
Metric spaces
WEEK 3 :
Interior/Boundary/limit points, open sets, closure
WEEK 4 :
Sequences, Convergence and continuity
WEEK 5 :
Completion of Metric Spaces, Compactness, Connectedness
WEEK 6 :
continuous functions
WEEK 7 :
Topological Spaces, Basis, suspaces, product topology
WEEK 8 :
Separation axioms, First and Second Countability, Baire space
WEEK 9 :Compactness in general topological spaces, Continuity and compactness,
Lebesgue covering lemma
WEEK 10 :
Products and compactness.
WEEK 11 :
metrizable spaces and topological spaces, heriditary properties
WEEK 12 :
Quotient topology, quotient spaces
WEEK 13 :
Connectedness, Hausdroff, Regular spaces & products
WEEK 14 :
Normal spaces, Lindelof spaces, Tietz Extension, Urysohn's lemma
WEEK 15 :
Tychonoff theorem, revision
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