Algorithmic Semi-algebraic Geometry and Topology – Recent Progress and Open Problems (expository article, 73 pages), to appear (2006)

by S Basu
Venue:in AMS Contemporary Mathematics Series, Proceedings the Summer Research Conference on Discrete and Computational Geometry – Twenty years later, Snowbird
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J. Eur. Math. Soc. 12, 529–553 c ○ European Mathematical Society 2010 DOI 10.471/JEMS/208

by Saugata Basu, Dmitrii V. Pasechnik, Marie-françoise Roy, Bounding The Betti Numbers
"... the Euler–Poincaré characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials ..."
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the Euler–Poincaré characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials