cohomology theory
C22356
concept
A cohomology theory is a functorial assignment of graded algebraic invariants to topological spaces (or other mathematical objects) that encodes global structural and obstruction information via axioms such as exactness and homotopy invariance.
Observed surface forms (6)
| Surface form | Occurrences |
|---|---|
| branch of algebraic topology | 1 |
| cobordism theory | 1 |
| differential cohomology theory | 1 |
| generalized cohomology invariant | 1 |
| generalized cohomology theory | 1 |
| refined cohomology theory | 1 |
Instances (14)
| Instance | Via concept surface |
|---|---|
| Alexandrov–Čech cohomology | — |
| Weil cohomology | — |
| étale cohomology | — |
| K-theory | — |
|
Galois
surface form:
Galois cohomology
|
— |
| Deligne cohomology | — |
| de Rham cohomology | — |
| Hirzebruch genera | generalized cohomology invariant |
| Thom cobordism theory | branch of algebraic topology |
| Alexander–Spanier cohomology | — |
| Galois cohomology | — |
| Tate cohomology | — |
| Chow groups | — |
| Cheeger–Simons differential characters | differential cohomology theory |