Topology: Homotopy and Projective Spaces

Related lectures (31)

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Covers the fundamentals of homotopy and its applications in topology.

Covers cylinders, path objects, and homotopy in model categories.

Introduces the homotopy extension property, exploring conditions for extending continuous maps.

Covers homotopy, quotient spaces, and the universal property in topology.

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.

Explores inverse limits, profinite completions, and Hausdorff topologies in group theory and topology.

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

Explores chain homotopy, projective complexes, and homotopy equivalences in chain complexes.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.