properties. Uniform spaces with uniform maps form a category. An isomorphism between uniform spaces is called a uniform isomorphism. A function f {\displaystyle...

Uniform convergence – Mode of convergence of a function sequence Uniform isomorphism – Uniformly continuous homeomorphism Rusnock & Kerr-Lawson 2005. Bourbaki...

topology a uniform property or uniform invariant is a property of a uniform space that is invariant under uniform isomorphisms. Since uniform spaces come...

maps form a category. An isomorphism between uniform spaces is called a uniform isomorphism; explicitly, it is a uniformly continuous bijection whose...

Isometric isomorphism – Distance-preserving mathematical transformationPages displaying short descriptions of redirect targets is an isomorphism between...

in M, d(x, z) ≤ max(d(x, y), d(y, z)). Uniform isomorphism If X and Y are uniform spaces, a uniform isomorphism from X to Y is a bijective function f :...

Unicoherent Solenoid (mathematics) Uniform continuity Lipschitz continuity Uniform isomorphism Uniform property Uniformly connected space Metric topology...

mathematics, the simultaneous uniformization theorem, proved by Bers (1960), states that it is possible to simultaneously uniformize two different Riemann surfaces...

called uniformic (uniformly isomorphic) if there is a uniform isomorphism between them (i.e., a uniformly continuous bijection with a uniformly continuous...

spaces: homeomorphism or topological isomorphism or bi continuous function. For uniform spaces: uniform isomorphism. For metric spaces: bijective isometry...

the starting point of category theory. A homomorphism may also be an isomorphism, an endomorphism, an automorphism, etc. (see below). Each of those can...

and only if it is continuous at some point. An isomorphism of topological groups is a group isomorphism that is also a homeomorphism of the underlying...

topological vector space isomorphism (abbreviated TVS isomorphism), also called a topological vector isomorphism or an isomorphism in the category of TVSs...

homomorphism. If a linear map is a bijection then it is called a linear isomorphism. In the case where V = W {\displaystyle V=W} , a linear map is called...

that for commutative C*-algebras, this representation is an isometric isomorphism. In the former case, one may regard the Gelfand representation as a far-reaching...

space. More formally, the third level classifies spaces up to isomorphism. An isomorphism between two spaces is defined as a one-to-one correspondence...

this is an isomorphism onto a subspace of V∗. If V is finite-dimensional, then this is an isomorphism onto all of V∗. Conversely, any isomorphism Φ {\displaystyle...

In mathematics, a diffeomorphism is an isomorphism of differentiable manifolds. It is an invertible function that maps one differentiable manifold to...

\sigma _{\xi }(D)} is a linear isomorphism for every non-zero ξ {\displaystyle \xi } . We say D {\displaystyle D} is (uniformly) strongly elliptic if for some...

measure space X, L∞(X) is a von Neumann algebra. This isomorphism as stated is an algebraic isomorphism. In fact we can state this more precisely as follows:...

Lie algebras; it is then reasonable to ask how isomorphism classes of Lie groups relate to isomorphism classes of Lie algebras. The first result in this...

axiomatic definition is that real numbers form the unique (up to an isomorphism) Dedekind-complete ordered field. Other common definitions of real numbers...

isomorphic to Fn. However, there is no "canonical" or preferred isomorphism; an isomorphism φ : Fn → V is equivalent to the choice of a basis of V, by mapping...

^{m})\hookrightarrow C^{\infty }(\mathbb {R} ^{n+m})} but this is not an isomorphism. For example, the function f ( x , y ) = e x y {\displaystyle f(x,y)=e^{xy}}...

TVS has a Hausdorff completion, which is necessarily unique up to TVS-isomorphism. However, as discussed below, all TVSs have infinitely many non-Hausdorff...

see Sport in Ireland § Gymnastics GI, a complexity class in the graph isomorphism problem Galvanized iron Gi alpha subunit, a protein Gastrointestinal...

a countable number of isomorphism classes, and that a countable amount of information is not sufficient to classify isomorphisms. The first anti-classification...

evaluation map is not an isomorphism) but is nevertheless isometrically isomorphic to its bidual (any such isometric isomorphism is necessarily not the...

Whitney isomorphism theorem states that, for connected graphs with more than four vertices, there is a one-to-one correspondence between isomorphisms of the...

total ordering, and is the unique totally ordered complete field (up to isomorphism). It is defined as the field of real numbers (see also Construction of...