Master thesis on Rational Homotopy Theory
https://github.com/Jaxan/Rational-Homotopy-Theory
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202 lines
4.3 KiB
202 lines
4.3 KiB
@misc{berglund,
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title={Rational Homotopy Theory},
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author={Berglund, A.},
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year={2012},
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institution = {University of Copenhagen},
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howpublished = {University Lecture}
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}
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@book{bousfield,
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title={On PL de Rham theory and rational homotopy type},
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author={Bousfield, A.K. and Gugenheim, V.K.A.M.},
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volume={179},
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year={1976},
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publisher={American Mathematical Soc.}
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}
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@book{dold,
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title={Lectures on Algebraic Topology},
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author={Dold, A.},
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year={1972},
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publisher={Springer}
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}
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@article{dwyer,
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title={Homotopy theories and model categories},
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author={Dwyer, W.G. and Spalinski, J.},
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journal={Handbook of algebraic topology},
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volume={73126},
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year={1995}
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}
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@book{felix,
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title={Rational Homotopy Theory},
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author={Félix, Y. and Halperin, S. and Thomas, J.C.},
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volume={205},
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year={2001},
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publisher={Springer}
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}
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@book{goerss,
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title={Simplicial Homotopy Theory},
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author={Goerss, P.G. and Jardine, J.F.},
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publisher={Birkhäuser},
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year={1999}
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}
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@book{griffiths,
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title={Rational Homotopy Theory and Differential Forms},
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author={Griffiths, P.A. and Morgan, J.W.},
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year={2013},
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publisher={Birkhäuser}
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}
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@article{hess,
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title={Rational Homotopy Theory: a Brief Introduction},
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author={Hess, K. and others},
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journal={Contemporary Mathematics},
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volume={436},
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pages={175},
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year={2007},
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publisher={Providence, RI; American Mathematical Society; 1999}
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}
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@article{hilton,
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title={Serre's contribution to the development of algebraic topology},
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author={Hilton, P.},
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journal={Expositiones Mathematicae},
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volume={22},
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number={4},
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pages={375--383},
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year={2004},
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publisher={Elsevier}
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}
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@book{hovey,
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title={Model Categories},
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author={Hovey, M.},
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number={63},
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year={2007},
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publisher={American Mathematical Soc.}
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}
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@book{joyal,
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title={An Introduction to Simplicial Homotopy Theory},
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author={Joyal, A. and Tierney, M.},
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journal={Hopf Archive},
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year={1999}
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}
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@inproceedings{kreck,
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title={A quick proof of the rational {H}urewicz theorem and a computation of the rational homotopy groups of spheres},
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author={Klaus, S. and Kreck, M.},
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booktitle={Mathematical Proceedings of the Cambridge Philosophical Society},
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volume={136},
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pages={617--623},
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year={2004},
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organization={Cambridge Univ Press}
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}
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@book{loday,
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title={Algebraic Operads},
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author={Loday, J. and Vallette, B.},
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volume={346},
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year={2012},
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publisher={Springer}
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}
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@book{may,
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title={A Concise Course in Algebraic Topology},
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author={May, J.P.},
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year={1999},
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publisher={University of Chicago Press}
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}
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@book{may2,
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title={More Concise Algebraic Topology: Localization, Completion, and Model Categories},
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author={May, J.P. and Ponto, K.},
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year={2011},
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publisher={University of Chicago Press}
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}
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@book{mccleary,
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title={A User's Guide to Spectral Sequences},
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author={McCleary, J.},
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number={58},
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year={2001},
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publisher={Cambridge University Press}
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}
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@article{neisendorfer,
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title={Lie algebras, coalgebras and rational homotopy theory for nilpotent spaces},
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author={Neisendorfer, J.},
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journal={Pacific Journal of Mathematics},
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volume={74},
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number={2},
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pages={429--460},
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year={1978}
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}
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@unpublished{olsson,
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title={The Bar Construction and Affine Stacks},
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author={Olsson, M.},
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note={Preprint. Available at http://math.berkeley.edu/molsson},
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}
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@article{quillen,
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title={Rational Homotopy Theory},
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author={Quillen, D.},
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journal={Annals of Mathematics},
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pages={205--295},
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year={1969},
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publisher={JSTOR}
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}
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@book{riehl,
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title={Categorical Homotopy Theory},
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author={Riehl, E.},
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volume={24},
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year={2014},
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publisher={Cambridge University Press}
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}
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@book{rotman,
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title={An Introduction to Homological Algebra},
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author={Rotman, J.J.},
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volume={2},
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year={2009},
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publisher={Springer}
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}
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@article{serre,
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title={Groupes d'Homotopie et Classes de Groupes Abeliens},
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author={Serre, J.P.},
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journal={Annals of Mathematics},
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pages={258--294},
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year={1953},
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publisher={JSTOR}
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}
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@book{spanier,
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title={Algebraic Topology},
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author={Spanier, E.H.},
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volume={55},
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year={1994},
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publisher={Springer}
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}
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@book{sullivan,
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title={Geometric Topology: Localization, Periodicity and Galois Symmetry: the 1970 MIT Notes},
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author={Sullivan, D.P. and Ranicki, A.},
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volume={8},
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year={2005},
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publisher={Springer}
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}
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@book{weibel,
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title={An Introduction to Homological Algebra},
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author={Weibel, C.A.},
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number={38},
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year={1995},
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publisher={Cambridge university press}
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}
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