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On real places of a field and their holomorphy ring. (English) Zbl 0509.14026

MSC:
14Pxx Real algebraic and real-analytic geometry
12J20 General valuation theory for fields
32C05 Real-analytic manifolds, real-analytic spaces
12D15 Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
12J15 Ordered fields
14A05 Relevant commutative algebra
11E10 Forms over real fields
13A18 Valuations and their generalizations for commutative rings
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