Swayam - Discontinued (Sep 2024)- Topology 

offered by Mumbai University

WEEK 1 :Set Theory, Relations and Functions

WEEK 2 :Metric spaces

WEEK 3 :Interior/Boundary/limit points, closure

WEEK 4 :Sequences, Convergence and properties

WEEK 5 :Completion, Compactness and Connectedness of Metric Spaces

WEEK 6 :Compactness & Equivalent Conditions for Compact Metric Spaces

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,Subspace, Lebesgue covering lemma

WEEK 10 :Tube lemma and it's application, Metrizable spaces and heriditary properties of topological spaces

WEEK 11 :Product of Regular spaces, Connectedness.WEEK 12 :Quotient topology, quotient spaces and Tychonoff theorem