Publication:
Generalized degree in normed spaces.

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Publication Date
1992
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Universitat Autònoma de Barcelona:
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We present a generalized degree theory for continuous maps f (D, 9D) - (E, E\{0}), where E is a normed vectorial space, Dis an open subset of Rk xEsuch that p, (D) is bounded in Rk and f is a compact perturbation of the second projection p2 : Rk x E- E
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K. DEIMIANG, "Nonlinear- Functional Analysis," Springer Verlag,1985. K . GEBA, I . MASSABó AND A . VIGNOLI, Generalized degree and bifurcation, Nonlinear Analysis and its Applications (1986),55-73. MORIZis W. HIRSCII, "Differential Topology," Springer verlag;1976. S.T. Hu, "Homotopy Theory," Acadernic Press, 1959. J . IZE, I. MASSAI3ó AND A . VIGNOLI, Degree thcory f'or equivariant maps I, Drans. Amer. Math. Soc. 31 5 (1989),433-510. N .G. LlD, "Degree Theory," Carnbridge; University press,1978 L.S . PONTRYAGIN, Smooth manifolds and their applications in Hornotopy Theory,Amen Math. Soc. T'ranslats .11 (1959), 1-114. F .R . RUIZ DEL PORTAL, Teoría del grado topológico generalizado y aplicaciones, Tesis. F .R. RUIZ DEL PORTAL, On the additivity property of the generalized degree, Math. Japonica, to appear. F .R. RUIZ DEI, PORTAL, Generalized complementing maps, Preprint.
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