 Home

Codex Wiki

Mathematics

Area of mathematics

Geometry and topology

Algebraic topology

Homology (mathematics)

Homology

Chain complex

Chain map

Chain homotopy

For cochain maps $f,g:C^\bullet\to D^\bullet$, a cochain homotopy is a family $K:C^q\to D^{q-1}$ satisfying
$$
f-g=dK+Kd.
$$
Cochain-homotopic maps induce the same map on <cohomology>.

Cochain homotopy

Averaging differential forms over the circle

Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 4 / 1 / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 22 / 5 / Solution

Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 18 / 3 / a / Solution

Cochain homotopy

 Ancestors (9)

 Incoming links (4)

 Discussion (0)

 Articles by others on the same topic (0)

Cochain homotopy

 Ancestors (9)

 Incoming links (4)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)