[FOM] Existence of algebraic closures of fields

Dave Marker marker at math.uic.edu
Fri Mar 5 12:21:19 EST 2010

Does every Borel field have a Borel algebraic closure?

Here by a "Borel field" I mean a field (F,+,*) where F
is a Borel subset of a Polish space and + and *
are Borel measurable.


David Marker
Professor and Head
Dept. of Mathematics, Statistics, and Computer Science
University of Illinois at Chicago

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