- In mathematics, a
pseudogroup is a set of
homeomorphisms between open sets of a space,
satisfying group-like and sheaf-like properties. It is a generalisation[dubious...
-
prolongation and
systems in
involution Infinite-dimensional
groups and
pseudogroups Differential geometry and
moving frames Generalised spaces with structure...
-
local Ck
diffeomorphisms on Rn form a
pseudogroup. All
biholomorphisms between open sets in Cn form a
pseudogroup. More
examples include:
orientation preserving...
- is the
pseudogroup defined by
affine subgroup of the
complex Möbius
group (the az + b
transformations fixing ∞); the
latter is the
pseudogroup defined...
-
solutions of a
system of PDEs
closed under composition. The
theory of Lie
Pseudogroups addresses these kinds of questions. List of
complex analysis topics Cauchy...
- was to
study the
properties of
pseudogroups from an
infinitesimal point of view. A
Cartan connection defines a
pseudogroup precisely when the derivative...
- maps are bilipschitz; this is
possible because bilipschitz maps form a
pseudogroup. Such a
structure allows one to
define locally Lipschitz maps between...
- {\displaystyle C^{k}} . Very generally, if each
transition function belongs to a
pseudogroup G {\displaystyle {\mathcal {G}}} of
homeomorphisms of
Euclidean space...
- Elkies, Noam D.; Martin,
Jeremy L. (2006), "The
Mathieu group M12 and its
pseudogroup extension M13",
Experimental Mathematics, 15 (2): 223–236, arXiv:math/0508630...
- show
existence theorems for
holomorphic functions. He
later worked on
pseudogroups and
their deformation theory,
based on a
fresh approach to overdetermined...
