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

observed in experiments. Compactification is one way of modifying the number of dimensions in a physical theory. In compactification, some of the extra dimensions...

compactification. The one-point compactification of R {\displaystyle \mathbb {R} } is homeomorphic to the circle S1; the one-point compactification of...

compactification of it. But there are other ways to compactify D / Γ {\displaystyle D/\Gamma } ; for example, there is the minimal compactification of...

{\displaystyle \beta _{j}} that are coming from the first homology of the compactification of each of the components. The one-cycle in X k ⊂ X {\displaystyle...

In mathematics, an Eells–Kuiper manifold is a compactification of R n {\displaystyle \mathbb {R} ^{n}} by a sphere of dimension n / 2 {\displaystyle n/2}...

be used to refer to the compactified modular curves X(Γ) which are compactifications obtained by adding finitely many points (called the cusps of Γ) to...

theorem Borel–de Siebenthal theory Borel–Moore homology Baily–Borel compactification Linear algebraic group Spin structure Borel, Armand (1960), Seminar...

{\displaystyle X} as a dense subset of a compact space is called a compactification of X . {\displaystyle X.} A linear operator between topological vector...

the one-point compactification of X {\displaystyle X} is a perfect, compact Hausdorff space. Therefore, the one point compactification of X {\displaystyle...

One can also arrange that W is integral if X is integral. Nagata's compactification theorem, as generalized by Deligne, says that a separated morphism...

the supervision of Oscar Zariski, with a thesis "Ultrafilters and Compactification of Uniform Spaces". Samuel ran a Paris seminar during the 1960s, and...

Revêtements étales et groupe fondamental - (SGA 1) (Documents Mathématiques 3), Paris: Société Mathématique de France, pp. xviii+327, see Exp. V, IX, X, arXiv:math...

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

Grothendieck school would see it); but geometrically it is more like a compactification question, as the stability criteria revealed. The restriction to non-singular...

Euclidean space is Euclidean space, which shows that A is the 1-point compactification of Euclidean space and therefore A is homeomorphic to the n-sphere...

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...

Rf_{!}:=Rp_{*}j_{!}} where f = p ∘ j {\displaystyle f=p\circ j} is a compactification of f, i.e., a factorization into an open immersion followed by a proper...

{\displaystyle n_{\infty }=e_{-}+e_{+}} as a conformal point at infinity (see Compactification), giving n ∞ ⋅ n o = − 1. {\displaystyle n_{\infty }\cdot n_{\text{o}}=-1...

surfaces in the early 1970s. The Furstenberg boundary and Furstenberg compactification of a locally symmetric space are named after him, as is the Furstenberg–Sárközy...

Mathematics Japan Society for Industrial and Applied Mathematics Société de Mathématiques Appliquées et Industrielles International Council for Industrial and...

Hilbert modular variety of the field extension. From the Bailey-Borel compactification theorem, there is an embedding of this surface into a projective space...

Most important are compactifications on Calabi–Yau manifolds with SU(2) or SU(3) holonomy. Also important are compactifications on G2 manifolds. Computing...

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

{\mathcal {P}}(S)} , the resulting topological space is the Stone–Čech compactification of a discrete space of cardinality | S | . {\displaystyle |S|.} The...

S2CID 11437903. Hindman, Neil; Strauss, Dona (1998). Algebra in the Stone-Čech compactification : theory and applications. New York: Walter de Gruyter. ISBN 311015420X...

affine scheme whose underlying topological space is the Stone–Čech compactification of the positive integers (with the discrete topology). In fact, the...

scheme that is not connected is Spec(k[x]×k[x]) compactification See for example Nagata's compactification theorem. Cox ring A generalization of a homogeneous...

Adding a point at each end yields a compactification of the original space, known as the end compactification. The ends of a finitely generated group...

Associate, Chamseddine discovered ten-dimensional supergravity and its compactifications and symmetries in four dimensions. A year later, Chamseddine moved...