TOPOLOGY - II

Point Set Topology: Continuous functions, metric topology, connectedness, path connectedness, compactness, countability axioms, separation axioms, complete metric spaces,  function  spaces, quotient  topology, topological groups, orbit spaces.  The fundamental group:  Homotopy  of  maps, multiplication of paths, the fundamental group, induced homomorphisms, the  fundamental group of the circle,  covering spaces, lifting theorems, the universal covering space, Seifert-Van Kampen theorem, applications.

Books

      — — TOPOLOGY - II

Point Set Topology: Continuous functions, metric topology, connectedness, path connectedness, compactness, countability axioms, separation axioms, complete metric spaces,  function  spaces, quotient  topology, topological groups, orbit spaces.  The fundamental group:  Homotopy  of  maps, multiplication of paths, the fundamental group, induced homomorphisms, the  fundamental group of the circle,  covering spaces, lifting theorems, the universal covering space, Seifert-Van Kampen theorem, applications.

Books

     


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Last updated: 23 May 2024