Concept

Christian theology

Related lectures (11)

Explores homotopy invariance and its application to homology groups of quotients, showcasing isomorphism and chain homotopy.

Jordan Curve Theorem

Covers the proof of the Jordan Curve Theorem and the properties of embedded spheres.

Zig Zag Lemma

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Simplicial and Singular Homology Equivalence

Demonstrates the equivalence between simplicial and singular homology, proving isomorphisms for finite s-complexes and discussing long exact sequences.

Plasma Physics II: Fundamentals and Applications

Covers collisional and transport phenomena, collective phenomena, and wave-particle interactions in plasma physics.

Simplices

Covers the concept of simplices in delta complexes and explains the standard n-simplex and the ordering of vertices.

Untitled

Simplicial Homology: Structure and Complexes

Covers the structure of topological spaces with A-complexes and chain complexes.

Singular Homology: First Properties

Covers the first properties of singular homology and the preservation of decomposition and path-connected components in topological spaces.

Chain Maps: Homotopy Invariance

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

Simplicial Homology Revisited

Covers the concept of simplicial homology, focusing on finite complexes and induced maps.