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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 9
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Articles

Behavior on level sets and global inversion

Pages 1838-1850 | Received 22 Jul 2014, Accepted 23 Jul 2014, Published online: 02 Sep 2014

References

  • Krantz SG, Parks HR. The implicit function theorem. Boston: Birkhauser; 2002.
  • Hadamard J. Sur les transformations ponctuelles [On point transformations]. Bull. Soc. Math. France. 1906;34:71–84.
  • Sabatini M. An extension to Hadamard global inverse function theorem in the plane. Nonlinear Anal. Theory Methods Appl. 1993;20:1069–1077.
  • Balreira EC. Incompressibility and global inversion. Topol. Methods Nonlinear Anal. 2010;35:69–76.
  • Hirsch MW. Differential topology. New York (NY): Springer; 1976.
  • Milnor JW. Topology from the differentiable viewpoint. Charlottesville (VA): The University Press of Virginia; 1965.
  • Berger M, Gostiaux B. Geometrie differentielle: varietes, courbes et surfaces [Differential geometry: manifolds, curves and surfaces]. 2nd ed. corrigee. Paris: Presses Universitaires de France; 1987.
  • Smyth B, Xavier F. Injectivity of local diffeomorphisms from nearly spectral conditions. J. Differ. Equ. 1996;130:406–414.
  • Boothby WM. An introduction to differentiable manifolds and Riemannian geometry. 2nd ed. San Diego (CA): Academic Press; 1986.
  • Fitzpatrick PM. Advanced calculus. 2nd ed. Singapore: PWS Publishing Company; 2006.
  • Arnold VI. Ordinary differential equations. Cambridge: MIT Press; 1973.
  • Forster O. Lectures on Riemann surfaces. New York (NY): Springer; 1981.
  • Plastock R. Homeomorphism between Banach spaces. Trans. Am. Math. Soc. 1974;200:169–183.

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