Isomorphism class
Isomorphism class An isomorphism class is a collection of mathematical objects isomorphic ... relations and operations defined over this set. Isomorphism classes are often defined if the ...
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Class of isomorphism   (translated from Spanish)
Class of isomorphism One isomorphism class it is a collection of mathematical objects ... operations defined on this set. Often, the isomorphism classes are defined because the exact ...
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Isomorphism
Isomorphism For the term in sociology, see isomorphism (sociology). In mathematics, an isomorphism (Greek:isos "equal", and morphe "shape") is ... i.e. structure-preserving mappings. Informally, an isomorphism is a kind of mapping between objects ... properties or operations. If there exists an isomorphism between two structures, we call the ...
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Group isomorphism
Group isomorphism In abstract algebra, a group isomorphism is a function between two groups that ... given group operations. If there exists an isomorphism between two groups, then the groups are ... two groups (G, *) and (H, @), a group isomorphism from (G, *) to (H, @) is a bijective ... Spelled out, this means that a group isomorphism is a bijective function f : G -> ...
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Chern class
Chern class In mathematics, in particular in algebraic topology ... chen) are a particular type of characteristic class associated to complex vector bundles. Chern classes ... and motivation Chern classes are a characteristic class. They are topological invariants associated to vector ... to attack diverse mathematical problems. The Chern class of a Hermitian vector bundle on a ... manifold M, a representative of each Chern class (also called a Chern form) $...$
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Equivalence class
Equivalence class In mathematics, given a set X and ... an equivalence relation ~ on X, the equivalence class of an element a in X is ... same color as", then one particular equivalence class consists of all green cars. X / ~ could ... only if ad = bc. Here the equivalence class of the pair (a,b) can be ... iff f(x) = f(y). The equivalence class of x is the set of ...
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Quasi-isomorphism
Quasi-isomorphism In homological algebra, a branch of mathematics, a quasi-isomorphism is a morphism A → B of ... quasi-isomorphisms are sometimes used as the class of weak equivalences when the objects of ...
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Characteristic class
Characteristic class In mathematics, the idea of characteristic class is one of the unifying geometric concepts ... b G (X) for the set of isomorphism classes of principal G-bundles. This is ... to the pullback operation f * . A characteristic class c of principal G-bundles is then ... c(P). On the left is the class of the pullback of P to ...
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Trace class
Trace class In mathematics, a trace class operator is a compact operator for which ... independent of the choice of basis. Trace class operators are essentially the same as nuclear ... though many authors reserve the term "trace class operator" for the special case of nuclear ... Hilbert spaces. This article concentrates on trace class operators on Hilbert spaces; for nuclear (= ...
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Isomorphism (mathematics)   (translated from Russian)
Isomorphism (mathematics) Isomorphism this very general concept which is used ... t. p. ). Biyektsiya between them is called isomorphism if it it preserves this structure. Such ... with the structure they are called isomorphous. Isomorphism it always assigns equivalence relation on the class of such sets with the structure. ...
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