- 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...
- 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...
- {\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...
- needed] The
multiplicative ergodic theorem is
stated in
terms of
matrix cocycles of a
dynamical system. The
theorem states conditions for the existence...
- 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...
- Lesniewski-Osterwalder (JLO)
cocycle (named
after Arthur Jaffe,
Andrzej Lesniewski, and
Konrad Osterwalder) is a
cocycle in an
entire cyclic cohomology...
-
satisfying certain condition (so-called
cocycle condition). In fact, a
factor system constitutes a
realisation of the
cocycles in the
second cohomology group in...
- topology, the cup
product is a
method of
adjoining two
cocycles of
degree p and q to form a
composite cocycle of
degree p + q. This
defines an ****ociative (and...
- the kind of self-consistency the
cocycle expresses. The
construction of
tensor densities is a 'twisting' at the
cocycle level.
Geometers have not been in...
