Algebraic Topology
A topological space is a fundamental concept in mathematics, defined as a set of points along with a collection of open sets that satisfy certain axioms. This structure allows us to explore properties such as continuity, convergence, and compactness without requiring a notion of distance. Understanding topological spaces provides the foundation for more advanced topics like cohomology and sheaf theory, as they enable the study of functions between spaces and the relationships between various algebraic structures.
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