- In mathematics,
specifically general topology,
compactness is a
property that s****s to
generalize the
notion of a
closed and
bounded subset of Euclidean...
-
These are
categorized as
Twisted affine diagrams. The set of
compact and
noncompact hyperbolic Dynkin graphs has been enumerated. All rank 3
hyperbolic graphs...
- In mathematics, a Lie
algebra is
semisimple if it is a
direct sum of
simple Lie algebras. (A
simple Lie
algebra is a non-abelian Lie
algebra without any...
-
mathematical field of topology, the
Alexandroff extension is a way to
extend a
noncompact topological space by
adjoining a
single point in such a way that the resulting...
- {m}}_{\mathbb {C} }} are
called noncompact roots. (This
terminology originates from the
symmetric space of
noncompact type.) If H is simple, the generator...
- In mathematics,
compact objects, also
referred to as
finitely presented objects, or
objects of
finite presentation, are
objects in a
category satisfying...
-
consequence that if Ric > 0 {\displaystyle \operatorname {Ric} >0} for
noncompact M 2 {\displaystyle M^{2}} , then it is flat or
diffeomorphic to R 2 {\displaystyle...
- one end,
appear to
cascade down the
strings Jacob's
ladder surface, a
noncompact surface in
mathematics Jacobs's ladder, the
European name for a solo string...
- is the null version: ****ume The null
energy condition holds. We have a
noncompact connected Cauchy surface. We have a
closed trapped null
surface T {\displaystyle...
-
Riemannian metrics with
positive scalar curvature has been
widely studied. On
noncompact spaces, this is the
context of the
positive m****
theorem proved by Richard...