- In
mathematics a
cocycle is a
closed cochain.
Cocycles are used in
algebraic topology to
express obstructions (for example, to
integrating a differential...
- In mathematics, the Teichmüller
cocycle is a
certain 3-
cocycle ****ociated to a
simple algebra A over a
field L
which is a
finite Galois extension of a...
- In
category theory, a
branch of mathematics, the
cocycle category of
objects X, Y in a
model category is a
category in
which the
objects are
pairs of...
- set of all q-
cocycles. Thus a (q−1)-cochain f {\displaystyle f} is a
cocycle if for all q-simplices σ {\displaystyle \sigma } the
cocycle condition ∑ j...
-
solution for λ = 0
corresponds to the
group 1-
cocycle 𝜙0(f) = log f' . The
corresponding Lie
algebra 1-
cocycles for λ = 0, 1, 2 are
given up to a
scalar multiple...
- In mathematics, the
Meyer signature cocycle,
introduced by Meyer (1973). is an integer-valued 2-cocyle on a
symplectic group that
describes the signature...
- Lesniewski-Osterwalder (JLO)
cocycle (named
after Arthur Jaffe,
Andrzej Lesniewski, and
Konrad Osterwalder) is a
cocycle in an
entire cyclic cohomology...
- needed] The
multiplicative ergodic theorem is
stated in
terms of
matrix cocycles of a
dynamical system. The
theorem states conditions for the existence...
- {\displaystyle M} . Then,
these functions must also
satisfy a
cocycle condition,
which gives a 1-
cocycle on M {\displaystyle M} with
values in its
tangent bundle...
-
satisfying certain condition (so-called
cocycle condition). In fact, a
factor system constitutes a
realisation of the
cocycles in the
second cohomology group in...
