specifically in convex analysis, the convex compactification is a compactification which is simultaneously a convex subset in a locally convex space in functional...

In mathematics, in general topology, compactification is the process or result of making a topological space into a compact space. A compact space is a...

method for compactification of C n {\displaystyle \mathbb {C} ^{n}} , but not the only method like the Riemann sphere that was compactification of C {\displaystyle...

boundary, Tits boundary, Thurston boundary. See also projective space and compactification. Busemann function given a ray, γ : [0, ∞)→X, the Busemann function...

{\displaystyle \operatorname {SU} (n)} is simply connected. The one-point compactification of R {\displaystyle \mathbb {R} } is not simply connected (even though...

{\displaystyle \lim I={\frac {1}{\pi }}\int _{-1}^{+1}(1-y^{2})^{3/2}dy} . Convex compactification Young, L. C. (1942). "Generalized Surfaces in the Calculus of Variations"...

Projectively extended real line Stone–Čech compactification Stone topology Stone–Čech remainder Wallman compactification This lists named topologies of uniform...

various generalization is in Chapter 3 from the perspective of convex compactifications. White, Brian (1997), "The Mathematics of F. J. Almgren Jr.", Notices...

he published two papers setting out what is now called Stone–Čech compactification theory. This theory grew out of his attempts to understand more deeply...

Stone–Čech compactification of ω1 is ω1+1, just as its one-point compactification (in sharp contrast to ω, whose Stone–Čech compactification is much larger...

Busemann functions by constants. Eberlein & O'Neill (1973) defined a compactification of a Hadamard manifold X which uses Busemann functions. Their construction...

to characterize the Bohr compactification of an arbitrary abelian locally compact topological group. The Bohr compactification B ( G ) {\displaystyle B(G)}...

"exterior completion", like completion of a locally convex space, or Stone–Čech compactification of a topological space. A dual construction is called...

finite groups. A convex polyhedron C in hyperbolic space is called geometrically finite if its closure C in the conformal compactification of hyperbolic...

homology (which is, roughly speaking, the homology of the compactification, and compactification is not homotopy-invariant). In order to define the fundamental...

mathematics, symmetric cones, sometimes called domains of positivity, are open convex self-dual cones in Euclidean space which have a transitive group of symmetries...

fundamental symmetries gives rise to the conformal group...” But conformal compactification introduces closed timelike curves so Segal portrayed the spatial part...

compact type as a compactification of a finite-dimensional complex semisimple Jordan algebra. The automorphism group of the compactification becomes a complex...

string, the Spin(32)/Z2 heterotic string, and M-theory are related by compactification on a K3 surface. For example, the Type IIA string compactified on a...

is the modular curve X(7) and the projective Klein quartic is its compactification, just as the dodecahedron (with a cusp in the center of each face)...

long as we have no article on Martin boundary, see Compactification (mathematics)#Other compactification theories. Bishop, C. (1991), "A characterization...

geometry) Mumford vanishing theorem (algebraic geometry) Nagata's compactification theorem (algebraic geometry) Noether's theorem on rationality for surfaces...

(born 7 May 1938) is an American mathematician, specializing in locally convex spaces, harmonic analysis, and partial differential equations. After receiving...

(topological Carrollian) sigma models. Tropical analysis Tropical compactification Hartnett, Kevin (5 September 2018). "Tinkertoy Models Produce New Geometric...

manifold with corners by allowing the points to approach each other. This compactification can be factored as S 1 × W d + 1 {\displaystyle S^{1}\times W_{d+1}}...

SU(1,1). It is a bounded domain in the complex plane C. The one-point compactification of C, the Riemann sphere, is the dual space, a homogeneous space for...

classification by observing that the mapping class group acted naturally on a compactification of Teichmüller space; as this enlarged space was homeomorphic to a...

{\displaystyle {\widehat {M}}=M\cup \{\infty \}} be the one-point compactification and x 0 {\displaystyle x_{0}} be F 0 {\displaystyle {\mathcal {F}}_{0}}...

correspond to exotic *-homomorphisms into C and describe the Stone–Čech compactification of Z. Examples: The predual of the von Neumann algebra L∞(R) of essentially...

Banach-Mazur compactum A note on the Banach-Mazur distance to the cube The Banach-Mazur compactum is the Alexandroff compactification of a Hilbert cube manifold...