Group cohomology

Formal sciences
Mathematics
Topology
Algebraic topology

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (32)

Page 2 of 4

Universal Coefficient Theorems

Delves into the universal coefficient theorems in homological algebra, showcasing their practical application in computing homology and cohomology groups.

Cohomology: Abelian Cochains

Introduces cohomology, focusing on abelian cochains and their correspondence with singular cochains.

Cellular Homology

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

Homological Algebra: Basics and Applications

Covers the basics of Homological algebra, focusing on Ext modules and their significance in modern mathematics.

Homology of Projective Space

Covers the homology of projective space, focusing on cohomology and exact sequences.

Cohomology of C2: Cup Product

Covers the cup product in the cohomology of C2, showing how non-trivial elements are represented by cocycles.

Topology Seminar: Tower Sequences and Homomorphisms

Explores tower sequences, homomorphisms, and their applications in topology, including the computation of homology and the construction of telescopes.

Homology of Riemann Surfaces

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

Naturality: Chain Complexes and Homology Groups

Explores naturality in chain complexes, homology groups, and abelian groups, emphasizing the commutativity of squares and the Five-Lemma.

Steenrod Squares

Covers the concept of Steenrod Squares and their applications in stable cohomology operations.