A place of a number Field is an Isomorphism class of field maps onto a dense subfield of a nondiscrete locally compact Field .
In the function field case, let be a function field of algebraic functions of one variable over a Field . Then by a place in , we mean a subset of which is the Ideal of nonunits of some Valuation Ring over .
References
Chevalley, C. Introduction to the Theory of Algebraic Functions of One Variable.
Providence, RI: Amer. Math. Soc., p. 2, 1951.
Knapp, A. W. ``Group Representations and Harmonic Analysis, Part II.'' Not. Amer. Math. Soc. 43, 537-549, 1996.