weak isomorphism

См. также в других словарях:

• Isomorphism — In abstract algebra, an isomorphism (Greek: ἴσος isos equal , and μορφή morphe shape ) is a bijective map f such that both f and its inverse f −1 are homomorphisms, i.e., structure preserving mappings.In the more general setting of category… …   Wikipedia

• Weak n-category — In category theory, weak n categories are a generalization of the notion of (strict) n category where composition is not strictly associative but only associative up to an isomorphism, which is itself associative up to an isomorphism, which is… …   Wikipedia

• Weak equivalence — In mathematics, a weak equivalence is a notion from homotopy theory which in some sense identifies objects that have the same basic shape . This notion is formalized in the axiomatic definition of a closed model category.Formal definitionA closed …   Wikipedia

• Weak topology (polar topology) — In functional analysis and related areas of mathematics the weak topology is the coarsest polar topology, the topology with the fewest open sets, on a dual pair. The finest polar topology is called strong topology. Under the weak topology the… …   Wikipedia

• Quasi-isomorphism — In homological algebra, a branch of mathematics, a quasi isomorphism is a morphism A → B of chain complexes (respectively, cochain complexes) such that the induced morphisms :H n(A ullet) o H n(B ullet) ( ext{respectively, } H^n(A^ullet) o… …   Wikipedia

• Abelian von Neumann algebra — In functional analysis, an Abelian von Neumann algebra is a von Neumann algebra of operators on a Hilbert space in which all elements commute. The prototypical example of an abelian von Neumann algebra is the algebra L^infty(X,mu) for μ a σ… …   Wikipedia

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

• Del Pezzo surface — In mathematics, a del Pezzo surface or Fano surface is a two dimensional Fano variety, in other words a non singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general… …   Wikipedia

• Limit (category theory) — In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint… …   Wikipedia

• Dual space — In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors… …   Wikipedia

• Von Neumann algebra — In mathematics, a von Neumann algebra or W* algebra is a * algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. They were originally introduced by John von Neumann,… …   Wikipedia