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isomorphism class การใช้

ประโยคมือถือ
  • Isomorphism classes of elliptic curves are specified by the j-invariant.
  • A finer invariant is needed to detect isomorphism classes.
  • In particular for a group G, ( G ) denotes its isomorphism class.
  • K-theory studies the isomorphism classes of all vector bundles over some topological space.
  • One can also define coarse moduli spaces representing isomorphism classes of smooth or stable curves.
  • In particular, there are uncountably many isomorphism classes of UHF C *-algebras.
  • This vector uniquely determines the isomorphism class of a finite-dimensional C *-algebra.
  • These tilings are all in different local isomorphism classes, that is, they are locally distinguishable.
  • The bagpipe theorem shows that there are 2 5 ! 1 isomorphism classes of non-paracompact surfaces.
  • This is a proper class model because the strongly cantorian isomorphism classes do not make up a set.
  • By convention, each such isomorphism class is represented by the rule with the lowest code number in it.
  • In general, the isomorphism class of the quotient, by a basic subgroup,, may depend on.
  • A set of graphs isomorphic to each other is called an "'isomorphism class of graphs " '.
  • There are ranks of isomorphism classes of set pictures just as there are ranks of sets in the usual set theory.
  • The set of isomorphism classes of Legendrian knots modulo negative Legendrian stabilizations is in bijection with the set of transverse knots.
  • These isomorphism classes form the non-abelian Galois cohomology set H ^ 1 ( F, G _ 2 ).
  • Thus, a modular function can also be regarded as a meromorphic function on the set of isomorphism classes of elliptic curves.
  • More conceptually, modular functions can be thought of as functions on the moduli space of isomorphism classes of complex elliptic curves.
  • These obviously depend on two parameters, a and b, whereas the isomorphism classes of such curves have only one parameter.
  • Thus the IBN property asserts that every isomorphism class of free " R "-modules has a unique rank.
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