• Corpus ID: 117268858

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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60 Citations
Highly Influential Citations
10
Background Citations
32
Methods Citations
19
Results Citations
1

60 Citations

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References

SHOWING 1-10 OF 60 REFERENCES

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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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From the reviews of the first edition: "It is certainly no exaggeration to say that A Singular Introduction to Commutative Algebra aims to lead a further stage in the computational revolution in…

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The classical problem of algebraic models for homotopy types is precisely stated here in terms of our ability to compute with the models. Two dierent natural statements for this problem are produced,…

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CHAPTER 13 – Stable Homotopy and Iterated Loop Spaces

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