# On Irreducible Components of Real Exponential Hypersurfaces

@article{Riener2016OnIC,
title={On Irreducible Components of Real Exponential Hypersurfaces},
author={C. Riener and Nicolai Vorobjov},
journal={Arnold Mathematical Journal},
year={2016},
volume={3},
pages={423-443}
}
• Published 2016
• Mathematics
• Arnold Mathematical Journal
• Fix any real algebraic extension $$\mathbb K$$K of the field $$\mathbb Q$$Q of rationals. Polynomials with coefficients from $$\mathbb K$$K in n variables and in n exponential functions are called exponential polynomials over$${\mathbb K}$$K. We study zero sets in $${\mathbb R}^n$$Rn of exponential polynomials over $$\mathbb K$$K, which we call exponential-algebraic sets. Complements of all exponential-algebraic sets in $${\mathbb R}^n$$Rn form a Zariski-type topology on $${\mathbb R}^n$$Rn… CONTINUE READING

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