Turing degrees of isomorphism types of geometric objects

Details Turing degrees of isomorphism types of geometric objects Turing degrees of isomorphism types of geometric objects

2011-06-14

arxiv.org/abs/1106.2763v2

Mathematics

Logic

This version contains new introduction and corrections of minor errors

Scientific paper

We initiate the computability-theoretic study of ringed spaces and schemes.
In particular, we show that any Turing degree may occur as the least degree of
an isomorphic copy of a structure of these kinds. We also show that these
structures may fail to have a least degree.

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