Akademik Dersler - İçerik

Weeks	Topics
Week - 1	Compactness of topological spaces, Compact spaces and compactness of subspaces
Week - 2	Compactness of topological spaces; Some relations among compactness, closed sets and continuous functions
Week - 3	Compactness of topological spaces; Compactness of product spaces, some examples
Week - 4	Compactness of topological spaces; Countably compact and sequentially compact spaces
Week - 5	Compactness of topological spaces; Locally compact spaces, compactness and completeness in metric spaces
Week - 6	Connectedness; Connected spaces and connected subsets
Week - 7	Connectedness; connectedness and continuous functions, connectedness of product spaces
Week - 8	Connectedness; Path-connected spaces, components, locally connected spaces
Week - 9	Connectedness; Disconnected and totally disconnected spaces
Week - 10	Complete Metric Spaces: Completeness concept
Week - 11	Complete Metric Spaces: Fixed point theorems
Week - 12	Complete Metric Spaces: Contraction theorems
Week - 13	Arzela-Ascoli theorems
Week - 14	Completion of metric spaces