- mathematics,
specifically in
homology theory and
algebraic topology,
cohomology is a
general term for a
sequence of
abelian groups,
usually one ****ociated...
- specifically, in
homological algebra),
group cohomology is a set of
mathematical tools used to
study groups using cohomology theory, a
technique from algebraic...
- One may
often find the
general de Rham
cohomologies of a
manifold using the
above fact
about the zero
cohomology and a Mayer–Vietoris sequence. Another...
- \operatorname {H} _{\infty -\mathrm {sing} }^{*}(M)}
where these cohomologies are the
cohomologies with real
coefficients of Ω ∗ ( M ) {\displaystyle \Omega...
-
Motivic cohomology is an
invariant of
algebraic varieties and of more
general schemes. It is a type of
cohomology related to
motives and
includes the...
- In mathematics,
crystalline cohomology is a Weil
cohomology theory for
schemes X over a base
field k. Its
values Hn(X/W) are
modules over the ring W of...
- mathematics,
particularly in
algebraic topology, Alexander–Spanier
cohomology is a
cohomology theory for
topological spaces. It was
introduced by
James W. Alexander (1935)...
-
separated scheme, Čech and
sheaf cohomology agree for any quasi-coherent sheaf. For the étale topology, the two
cohomologies agree for any étale
sheaf on...
- In mathematics, Lie
algebra cohomology is a
cohomology theory for Lie algebras. It was
first introduced in 1929 by Élie
Cartan to
study the
topology of...
- In
algebraic geometry,
local cohomology is an
algebraic analogue of
relative cohomology.
Alexander Grothendieck introduced it in
seminars in
Harvard in...
