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An algebraic approach to the topological degree of a smooth map
Author(s):
David
Eisenbud
Journal:
Bull. Amer. Math. Soc.
84
(1978),
751-764.
MSC (1970):
Primary 55C25, 14B99;
Secondary 10C05, 13B15, 26A93
MathSciNet review:
0494226
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References |
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Additional information
References:
- [Bass] H. Bass, On the ubiquity of Gorenstein rings, Math. Z. 82 (1963), 8-28. MR 153708
- [Beauville] A. Beauville, Une notion de residue en géométrie analytique, Sem. P. Lelong, (1969/1970) Lecture Notes in Math., vol. 205, Springer-Verlag, New York, 1971, pp. 183-203. MR 437796
- [Berger] R. Berger, Differenten regulärer Ringe, J. Reine Angew. Math. 214/215 (1964), 441-442. MR 160794
- [Damon-Galligo] J. Damon and A. Galligo, A topological invariant for stable map germs, Invent. Math. 32 (1976), 103-132. MR 407883
- [Mather] J. Mather, Stability of C∞ mappings. III, Finitely determined map germs, Inst. Hautes Études Sci. Publ. Math. 35 (1968), 127-156.
- [Milnor] J. Milnor, (1) Topology from a differentiable point of view, University Press of Virginia, Charlottesville, Virginia, 1965. MR 226651
- [Milnor] J. Milnor, (2) Singular points of complex hypersurfaces, Princeton Univ. Press, Princeton, N. J., 1970. MR 239612
- [Serre] J.-P. Serre, Corps locaux, Hermann, Paris, 1968. MR 354618
- [Scheja-Storch], Über Spurfunktionen vollständigen Durchschnitten, J. Reine Angew. Math. 278/279 (1975), 174-189. MR 393056
- [Zakaljukin] V. M. Zakaljukin, Algebraic computability of the index of a singular point of a vector field, Funkcional Anal. i. Priložen 6 (1972), 77-78. MR 295384
- [Eisenbud-Levine] D. Eisenbud and H. Levine, An algebraic formula for the degree of a C∞ map germ, Ann. of Math. (2) 106 (1977), 19-44. MR 467800
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Additional Information:
DOI:
10.1090/S0002-9904-1978-14509-1
PII:
S 0002-9904(1978)14509-1
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