Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 40 Issue 2
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- Pages.215-221
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- 2003
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
DOI QR Code
TOUCHE ROUCHE
- Harte, Robin (School of Mathematics, Trinity College) ;
- Keogh, Gary (Computer Applications, Dublin City University)
- Published : 2003.05.01
Abstract
There seems to be a love-hate relationship between Brouwer's fixed point theorem and the fundamental theorem of algebra; in this note we offer one more tweak at it, and give a version of Rouches theorem.
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References
- Amer. Math. Monthly v.56 A topological proof of the fundamental theorem of algebra B.H.Arnold https://doi.org/10.2307/2305130
- Topology and analysis: the Atiyah-Singer formula and gauge-theoretic physics B.Booss;D.D.Bleecker
- The fundamental theorem of algebra B.Fine;G.Rosenberger
- Functions of one complex variable J.B.Conway
- Invertibility and singularity R.E.Harte
- An introduction to algebraic topology J.J.Rotman
- Notices Amer. Math. Soc. v.104 Borsuk-Ulam implies Brouwer, a direct construction F.E.Su
- Amer. Math. Monthly v.96 A version of Rouches theorem for continuous functions A.Tsarpalias https://doi.org/10.2307/2324586
Cited by
- Ruston, Riesz and perturbation classes vol.389, pp.2, 2012, https://doi.org/10.1016/j.jmaa.2011.12.030