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A note on topological degree theory for holomorphic maps

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Abstract

Using degree theory, an elementary topological proof is given of some well-known results in the theory of several complex variables. In particular it is shown that a compact analytic variety consists of finitely many points.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, Wisconsin, U S A

    Paul H. Rabinowitz

Authors
  1. Paul H. Rabinowitz
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Additional information

This research was supported in part by the Office of Naval Research under contract N00014-670-A-0128-0023. Reproduction in whole or in part is permitted for any purpose of the U.S. Government.

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Rabinowitz, P.H. A note on topological degree theory for holomorphic maps. Israel J. Math. 16, 46–52 (1973). https://doi.org/10.1007/BF02761969

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  • DOI: https://doi.org/10.1007/BF02761969

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