# Constructive Homological Algebra and Applications

@article{Rubio2012ConstructiveHA, title={Constructive Homological Algebra and Applications}, author={Julio Rubio and Francis Sergeraert}, journal={arXiv: K-Theory and Homology}, year={2012} }

This text was written and used for a MAP Summer School at the University of Genova, August 28 to September 2, 2006. Available since then on the web site of the second author, it has been used and referenced by several colleagues working in Commutative Algebra and Algebraic Topology. To make safer such references, it was suggested to place it on the Arxiv repository.
It is a relatively detailed exposition of the use of the Basic Perturbation Lemma to make constructive Homological Algebra…

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The Rubio–Sergeraert solution for Constructive Algebraic Topology is recalled and the concrete computer program Kenzo has been written down which precisely follows this method.

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