3 papers
math.LO2005
A question of van den Dries and a theorem of Lipshitz and Robinson: Not everything is standard
Ehud Hrushovski, Ya'acov Peterzil
We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expa…
quant-ph2003
Generalizations of Kochen and Specker's Theorem and the Effectiveness of Gleason's Theorem
Ehud Hrushovski, Itamar Pitowsky
Kochen and Specker's theorem can be seen as a consequence of Gleason's theorem and logical compactness. Similar compactness arguments lead to stronger results about finite sets of…
math.RA1998
Lascar and Morley ranks differ in differentially closed fields
Ehud Hrushovski, Thomas Scanlon
We note here, in answer to a question of Poizat, that the Morley and Lascar ranks need not coincide in differentially closed fields. We approach this through the (perhaps) more fun…