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Locally Semialgebraic Spaces (Lecture Notes in Mathematics)
Locally Semialgebraic Spaces (Lecture Notes in Mathematics)
Date: 19 June 2011, 05:58

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The primary occupation of real algebraic geometry, or better "semialge-braic geometry", is to study the set of solutions of a finite system of polynomial inequalities in a finite number of variables over the field IR of real numbers. One wants to do this in a conceptual way, not always mentioning the polynomial data, similarly as in alqebraic geometry, say over C, where one most often avoids working explicitelywith the systems of polynomial equalities (and non-equalities f * 0) involved.

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