## Place (Field)

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.