• Corpus ID: 119555894

Deformation theory and rational homotopy type

@article{Schlessinger2012DeformationTA,
title={Deformation theory and rational homotopy type},
author={M. Schlessinger and Jim Stasheff},
journal={arXiv: Quantum Algebra},
year={2012}
}
• Published 7 November 2012
• Mathematics
• arXiv: Quantum Algebra
We regard the classification of rational homotopy types as a problem in algebraic deformation theory: any space with given cohomology is a perturbation, or deformation, of the "formal" space with that cohomology. The classifying space is then a "moduli" space --- a certain quotient of an algebraic variety of perturbations. The description we give of this moduli space links it with corresponding structures in homotopy theory, especially the classification of fibres spaces with fixed fibre F in…
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