Recent Advances in the Computation of the Homology of Semialgebraic Sets

@inproceedings{Cucker2019RecentAI,
title={Recent Advances in the Computation of the Homology of Semialgebraic Sets},
author={F. Cucker},
booktitle={CiE},
year={2019}
}

This article describes recent advances in the computation of the homology groups of semialgebraic sets. It summarizes a series of papers by the author and several coauthors (P. Burgisser, T. Krick, P. Lairez, M. Shub, and J. Tonelli-Cueto) on which a sequence of ideas and techniques were deployed to tackle the problem at increasing levels of generality. The goal is not to provide a detailed technical picture but rather to throw light on the main features of this technical picture, the… CONTINUE READING