- duality isomorphism
- мат. изоморфизм двойственности
Большой англо-русский и русско-английский словарь. 2001.
duality isomorphism
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Duality — may refer to: Contents 1 Mathematics 2 Philosophy, logic, and psychology 3 Science 3.1 Electrical and mechanical … Wikipedia
Duality (projective geometry) — A striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this metamathematical concept. There are two approaches to the subject of … Wikipedia
Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… … Wikipedia
Duality theory for distributive lattices — In mathematics, duality theory for distributive lattices provides three different (but closely related) representations of bounded distributive lattices via Priestley spaces, spectral spaces, and pairwise Stone spaces. This generalizes the well… … Wikipedia
Duality (order theory) — In the mathematical area of order theory, every partially ordered set P gives rise to a dual (or opposite) partially ordered set which is often denoted by Pop or Pd. This dual order Pop is defined to be the set with the inverse order, i.e. x ≤ y… … Wikipedia
Pontryagin duality — In mathematics, in particular in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform. It places in a unified context a number of observations about functions on the… … Wikipedia
Poincaré duality — In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of manifolds. It states that if M is an n dimensional compact oriented manifold, then the k th… … Wikipedia
Tannaka–Krein duality — In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. Its natural extension to the non Abelian case is the Grothendieck duality theory. It extends an… … Wikipedia
Tannaka-Krein duality — In mathematics, Tannaka Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. It extends an important mathematical duality between compact and discrete commutative topological… … Wikipedia
Channel-state duality — In quantum information theory, the channel state duality refers to the correspondence between quantum channels and quantum states (described by density matrices). Phrased differently, the duality is the isomorphism between completely positive… … Wikipedia
Coherent duality — In mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex manifold theory, as well as some aspects of commutative algebra that are part of the local… … Wikipedia
