2 papers
math.AG2021
Efficient computation of a semi-algebraic basis of the first homology group of a semi-algebraic set
Saugata Basu, Sarah Percival
Let be a real closed field and the algebraic closure of . We give an algorithm for computing a semi-algebraic basis for the first homology gro…
math.AT2018
On the Reeb spaces of definable maps
Saugata Basu, Nathanael Cox, Sarah Percival
We prove that the Reeb space of a proper definable map in an arbitrary o-minimal expansion of a real closed field is realizable as a proper definable quotient.…