Examples of 'compactification' in a sentence
Meaning of "compactification"
Compactification refers to a mathematical process of introducing new points at infinity to make a space complete
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- Any of various procedures of enlarging a topological space to make it compact.
- The space resulting from any such procedure.
- Any modification of a theory such that an infinite parameter becomes finite
How to use "compactification" in a sentence
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compactification
And its quest for the compactification.
Compactification is one way of modifying the number of dimensions in a physical theory.
This can contribute to axial compactification of the clutch apparatus.
Compactification of strings.
We also give arguments for a stabilization of the compactification moduli.
A standard analogy for compactification is to consider a multidimensional object such as a garden hose.
These models suffer from a problem of stabilization of the large compactification radii.
A flux compactification is a particular way to deal with additional dimensions required by string theory.
We obtain a compactified space with a large volume without a large compactification length to stabilize.
The Bohr compactification of the real line.
The field of study undertaken is also known as compactification of String Theory.
This is a compactification of complex Minkowski space.
A common instance is the complex plane where the compactification corresponds to the Riemann sphere.
The Bohr compactification exists and is unique up to isomorphism.
Real projective space RPn is a compactification of Euclidean space Rn.
See also
Compactification can be used to construct models in which spacetime is effectively four-dimensional.
It seems as if there is a compactification called a Smirinov.
Typically, such models are based on the idea of compactification.
A topological space has a Hausdorff compactification if and only if it is Tychonoff.
Nagata 's compactification theorem shows that varieties can be embedded in complete varieties.
Tropical analysis Tropical compactification.
Therefore, compactification of the motor driven vehicle is easy.
We also introduce preparatories results about properties of toric compactification of polynomial 's fibers.
In particular, the compactification point at infinity is mapped to the origin and vice versa.
Here we describe gluing a pair of three-balls and then the one-point compactification.
This is a one-point compactification of the real line.
Compactification on Calabi-Yau n-folds are important because they leave some of the original supersymmetry unbroken.
Then t-duality would allow for the compactification of extra space dimensions.
In physics, compactification means changing a theory with respect to one of its space-time dimensions.
A somewhat different way to think of the one-point compactification is via the exponential map.
The Stone-Čech compactification of a discrete space is extremally disconnected.
Topologically, the resulting space is the one-point compactification of a plane into the sphere.
In string theory, compactification is a generalization of Kaluza-Klein theory.
It is the noncommutative generalization of Stone-Čech compactification.
We study the Chabauty compactification of symmetric spaces of non-compact type.
Show that is the Stone-Čech compactification of.
In topology, the Alexandroff compactification and the Alexandrov topology are named after him.
This construction is the Stone-Čech compactification.
We define and study a Thurston-like compactification of spaces of isometry classes of marked lattices.
This construction is the Stone - Čech compactification.
In a particular case, we study a partial compactification using calculations with the software system Macaulay2.
Every Tychonoff space has a Stone-Čech compactification.
Therefore, the one point compactification of X is uncountable.
Every Tychonoff space has a Stone - Čech compactification.
The Fürstenberg boundary and Fürstenberg compactification of a locally symmetric space are named after him . * Wik.
In fact, this closure is the Stone-Čech compactification.
A theorem of R. Skora states that this compactification is equivariantly homeomorphic the Thurston compactification.
In 1934, he published two papers setting out what is now called Stone - Čech compactification theory.
Among those Hausdorff compactifications, there is a unique " most general " one, the Stone-Čech compactification βX.
Topologically, the Riemann sphere is the one-point compactification of the complex plane.
