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Seifert van Kampen: strategy
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Related lectures (32)
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Euler Characteristic: Surfaces and Homotopy
Explores the Euler characteristic of surfaces and homotopy properties.
Homotopy: Fundamentals and Examples
Covers the fundamentals of homotopy and its applications in topology.
Homotopy Theory: Cylinders and Path Objects
Covers cylinders, path objects, and homotopy in model categories.
Cross Product in Cohomology
Explores the cross product in cohomology, covering its properties and applications in homotopy.
Universal Covering Construction
Introduces the concept of a universal covering construction with examples like Hawaiian rings.
CW Approximation Theorem
Explores the CW Approximation Theorem, constructing CW complexes from spaces to ensure isomorphism on homology groups.
Homotopies & Equivalence Relations
Covers homotopies, fundamental group, and equivalence relations in applications.
Cohomology Representations: Lecture 14.1
Covers the concept of cohomology representations and the implications of reduced suspension operations on spaces.
Unifying left and right homotopy: The homotopy relation
Explores the equivalence of left and right homotopy for morphisms between bifibrant objects.
Green-Riemann Formula: Curvilinear Integrals
Covers the Green-Riemann formula, connectedness by arcs, parametrization of curves, and open simply connected domains in the Oxy plane.