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Topological equivalence of real binary forms


Authors: David Weinberg and Dave Witte
Journal: Proc. Amer. Math. Soc. 112 (1991), 1157-1162
MSC: Primary 12D05; Secondary 13A50, 14D25, 57S25
DOI: https://doi.org/10.1090/S0002-9939-1991-1086344-6
MathSciNet review: 1086344
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Abstract: Necessary and sufficient conditions are given for two real binary homogeneous polynomials to be equivalent under a continuous change of variables, and for the forms to be equivalent under a continuous change of variables that is differentiable (or that is real-analytic) away from the origin.


References [Enhancements On Off] (What's this?)

  • [E] E. B. Elliott, An introduction to the algebra of quantics, 2nd ed., Oxford Univ. Press, Oxford, 1913.
  • [G] G. Gurevich, Foundations of the theory of algebraic invariants, Noordhoff, Groningen, 1964. MR 0183733 (32:1211)
  • [GY] J. H. Grace and A. Young, The algebra of invariants, Cambridge Univ. Press, Cambridge, 1903.
  • [MB] S. Mac Lane and G. Birkhoff, Algebra, MacMillan, London, 1967. MR 0214415 (35:5266)
  • [W] D. Weinberg, Canonical forms for symmetric tensors, Linear Algebra Appl. 57 (1984), 271-282. MR 729277 (85b:15037)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1086344-6
Article copyright: © Copyright 1991 American Mathematical Society

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