- In
abstract algebra,
cohomological dimension is an
invariant of a
group which measures the
homological complexity of its representations. It has important...
- the
framework of
secondary calculus, the
analog of
smooth manifolds.
Cohomological physics was born with Gauss's theorem,
describing the
electric charge...
- over a ring, and a
nonnegative integer r 0 {\displaystyle r_{0}} . A
cohomological spectral sequence is a
sequence { E r , d r } r ≥ r 0 {\displaystyle...
- In mathematics,
specifically in
homology theory and
algebraic topology,
cohomology is a
general term for a
sequence of
abelian groups,
usually one ****ociated...
- In mathematics, a
cohomological invariant of an
algebraic group G over a
field is an
invariant of
forms of G
taking values in a
Galois cohomology group...
- In mathematics, the
cohomology operation concept became central to
algebraic topology,
particularly homotopy theory, from the 1950s onwards, in the shape...
- In
algebraic geometry, a
cohomological descent is, roughly, a "derived"
version of a
fully faithful descent in the
classical descent theory. This point...
- In mathematics,
particularly algebraic topology and
homology theory, the Mayer–Vietoris
sequence is an
algebraic tool to help
compute algebraic invariants...
-
differentials have
bidegree (−r, r − 1), so they
decrease n by one. In the
cohomological case, n is
increased by one. When r is zero, the
differential moves...
- In the
mathematics of Lie theory, Lie's
third theorem states that
every finite-dimensional Lie
algebra g {\displaystyle {\mathfrak {g}}} over the real...
