Cellular Homology: Applications

Related lectures (31)

Page 3 of 4

Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.

Covers homology groups of quotients, homotopy invariance, and exact sequences.

Explains cellular homology and the computation of homology groups using boundary maps.

Covers the Postnikov tower, homotopy fibers, suspension, and the James construction.

Focuses on lifting properties in homotopy theory of chain complexes.

Explores the long exact sequence in homotopy, emphasizing the importance of sets and groups in the sequence.

Covers chain maps, homotopy invariance, homology groups, and induced homomorphisms between cycles and boundaries.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Covers the proof of Theorem A, discussing homology, quotients, and isomorphisms.

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