- In mathematics,
specifically in
homology theory and
algebraic topology,
cohomology is a
general term for a
sequence of
abelian groups,
usually one ****ociated...
- theory, topology, and
algebraic number theory. As most
cohomological invariants, the
cohomological dimension involves a
choice of a "ring of coefficients"...
- 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...
- 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...
- a
cohomological descent is a
generalization Conrad n.d.,
Lemma 6.8.
Conrad n.d.,
Definition 6.5. SGA4 Vbis [1] Conrad,
Brian (n.d.). "
Cohomological descent"...
-
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...
-
modern theoretical physics is
called Cohomological Physics. It is
relevant that
secondary calculus and
cohomological physics,
which developed for twenty...
- S
denotes a
covariant cohomological δ-functor
between A and B, then S is
universal if
given any
other (covariant
cohomological) δ-functor T (between A...
- In the
mathematics of Lie theory, Lie's
third theorem states that
every finite-dimensional Lie
algebra g {\displaystyle {\mathfrak {g}}} over the real...
-
study the
topology of Lie
groups and
homogeneous spaces by
relating cohomological methods of
Georges de Rham to
properties of the Lie algebra. It was...
