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Kolmogorov space
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Related lectures (29)
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Modular curves: Riemann surfaces and transition maps
Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.
Graph Algorithms: DFS, Topological Sort, SCC
Explores DFS, Topological Sort, SCC in graphs, and introduces Flow Networks with practical examples.
Quotient by a Relation
Covers the concept of quotient space by a relation and its applications.
Graph Traversal: BFS and DFS
Covers Breadth-First Search, Depth-First Search, and topological sort in graphs.
Space Identification: SO(3)
Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).
Wedge: Family of Spaces
Explores the concept of a wedge of spaces and explicit parainization.
Quotient Topology
Covers the concept of quotient spaces and the quotient topology, defining open sets and characterizing functions.
Topology: Compactness and Continuity
Explores compactness, continuity, and quotient spaces in topology, emphasizing the topology of lines in R² and the properties of compact sets.
Properties of X/G
Explores the properties of the quotient space X/G when X is compact and sometimes separated.
The Topological Künneth Theorem
Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.