imbedding of a set

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• imbedding — v. insert, set firmly in place; surround tightly, enclose (also embed) …   English contemporary dictionary

• Systolic geometry — In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner, and developed by Mikhail Gromov and others, in its arithmetic, ergodic, and topological manifestations.… …   Wikipedia

• Filling radius — In Riemannian geometry, the filling radius of a Riemannian manifold X is a metric invariant of X . It was originally introduced in 1983 by Mikhail Gromov, who used it to prove his systolic inequality for essential manifolds, vastly generalizing… …   Wikipedia

• Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

• Nash embedding theorem — The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space. Isometric means preserving the length of every path. For instance,… …   Wikipedia

• Trudinger's theorem — In mathematical analysis, Trudinger s theorem or the Trudinger inequality (also sometimes called the Moser–Trudinger inequality) is a result of functional analysis on Sobolev spaces. It is named after Neil Trudinger (and Jürgen Moser). It… …   Wikipedia

• Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… …   Wikipedia

• POVM — In functional analysis and quantum measurement theory, a POVM (Positive Operator Valued Measure) is a measure whose values are non negative self adjoint operators on a Hilbert space. It is the most general formulation of a measurement in the… …   Wikipedia

• Glossary of Riemannian and metric geometry — This is a glossary of some terms used in Riemannian geometry and metric geometry mdash; it doesn t cover the terminology of differential topology. The following articles may also be useful. These either contain specialised vocabulary or provide… …   Wikipedia

• Sobolev space — In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp norms of the function itself as well as its derivatives up to a given order. The derivatives are understood in a suitable weak sense… …   Wikipedia

• Tsirelson space — In mathematics, Tsirelson space T is an example of a reflexive Banach space in which neither an l p space nor a c 0 space can be embedded.It was introduced by B. S. Tsirelson in 1974. In the same year, Figiel and Johnson published a related… …   Wikipedia