|
|
@ -1,6 +1,6 @@ |
|
|
|
@misc{berglund, |
|
|
|
title={Rational Homotopy Theory}, |
|
|
|
author={Berglund, Alexander}, |
|
|
|
author={Berglund, A.}, |
|
|
|
year={2012}, |
|
|
|
institution = {University of Copenhagen}, |
|
|
|
howpublished = {University Lecture} |
|
|
@ -8,7 +8,7 @@ |
|
|
|
|
|
|
|
@book{bousfield, |
|
|
|
title={On PL de Rham theory and rational homotopy type}, |
|
|
|
author={Bousfield, Aldridge Knight and Gugenheim, Victor KAM}, |
|
|
|
author={Bousfield, A.K. and Gugenheim, V.K.A.M.}, |
|
|
|
volume={179}, |
|
|
|
year={1976}, |
|
|
|
publisher={American Mathematical Soc.} |
|
|
@ -16,22 +16,22 @@ |
|
|
|
|
|
|
|
@book{dold, |
|
|
|
title={Lectures on Algebraic Topology}, |
|
|
|
author={Dold, A}, |
|
|
|
author={Dold, A.}, |
|
|
|
year={1972}, |
|
|
|
publisher={Springer} |
|
|
|
} |
|
|
|
|
|
|
|
@article{dwyer, |
|
|
|
title={Homotopy theories and model categories}, |
|
|
|
author={Dwyer, William G and Spalinski, Jan}, |
|
|
|
author={Dwyer, W.G. and Spalinski, J.}, |
|
|
|
journal={Handbook of algebraic topology}, |
|
|
|
volume={73126}, |
|
|
|
year={1995} |
|
|
|
} |
|
|
|
|
|
|
|
@book{felix, |
|
|
|
title={Rational homotopy theory}, |
|
|
|
author={F{\'e}lix, Yves and Halperin, Steve and Thomas, Jean-Claude}, |
|
|
|
title={Rational Homotopy Theory}, |
|
|
|
author={Félix, Y. and Halperin, S. and Thomas, J.C.}, |
|
|
|
volume={205}, |
|
|
|
year={2001}, |
|
|
|
publisher={Springer} |
|
|
@ -39,21 +39,21 @@ |
|
|
|
|
|
|
|
@book{goerss, |
|
|
|
title={Simplicial Homotopy Theory}, |
|
|
|
author={Goerss, PG and Jardine, JF}, |
|
|
|
publisher={Birkh{\"a}user}, |
|
|
|
author={Goerss, P.G. and Jardine, J.F.}, |
|
|
|
publisher={Birkhäuser}, |
|
|
|
year={1999} |
|
|
|
} |
|
|
|
|
|
|
|
@book{griffiths, |
|
|
|
title={Rational homotopy theory and differential forms}, |
|
|
|
author={Griffiths, Phillip A and Morgan, John W}, |
|
|
|
title={Rational Homotopy Theory and Differential Forms}, |
|
|
|
author={Griffiths, P.A. and Morgan, J.W.}, |
|
|
|
year={2013}, |
|
|
|
publisher={Birkh{\"a}user} |
|
|
|
publisher={Birkhäuser} |
|
|
|
} |
|
|
|
|
|
|
|
@article{hess, |
|
|
|
title={Rational homotopy theory: a brief introduction}, |
|
|
|
author={Hess, Kathryn and others}, |
|
|
|
title={Rational Homotopy Theory: a Brief Introduction}, |
|
|
|
author={Hess, K. and others}, |
|
|
|
journal={Contemporary Mathematics}, |
|
|
|
volume={436}, |
|
|
|
pages={175}, |
|
|
@ -63,7 +63,7 @@ |
|
|
|
|
|
|
|
@article{hilton, |
|
|
|
title={Serre's contribution to the development of algebraic topology}, |
|
|
|
author={Hilton, Peter}, |
|
|
|
author={Hilton, P.}, |
|
|
|
journal={Expositiones Mathematicae}, |
|
|
|
volume={22}, |
|
|
|
number={4}, |
|
|
@ -73,23 +73,23 @@ |
|
|
|
} |
|
|
|
|
|
|
|
@book{hovey, |
|
|
|
title={Model categories}, |
|
|
|
author={Hovey, Mark}, |
|
|
|
title={Model Categories}, |
|
|
|
author={Hovey, M.}, |
|
|
|
number={63}, |
|
|
|
year={2007}, |
|
|
|
publisher={American Mathematical Soc.} |
|
|
|
} |
|
|
|
|
|
|
|
@article{joyal, |
|
|
|
title={An introduction to simplicial homotopy theory}, |
|
|
|
author={Joyal, Andr{\'e} and Tierney, Myles}, |
|
|
|
@book{joyal, |
|
|
|
title={An Introduction to Simplicial Homotopy Theory}, |
|
|
|
author={Joyal, A. and Tierney, M.}, |
|
|
|
journal={Hopf Archive}, |
|
|
|
year={1999} |
|
|
|
} |
|
|
|
|
|
|
|
@inproceedings{kreck, |
|
|
|
title={A quick proof of the rational Hurewicz theorem and a computation of the rational homotopy groups of spheres}, |
|
|
|
author={Klaus, Stephan and Kreck, Matthias}, |
|
|
|
title={A quick proof of the rational {H}urewicz theorem and a computation of the rational homotopy groups of spheres}, |
|
|
|
author={Klaus, S. and Kreck, M.}, |
|
|
|
booktitle={Mathematical Proceedings of the Cambridge Philosophical Society}, |
|
|
|
volume={136}, |
|
|
|
pages={617--623}, |
|
|
@ -98,39 +98,37 @@ |
|
|
|
} |
|
|
|
|
|
|
|
@book{loday, |
|
|
|
title={Algebraic operads}, |
|
|
|
author={Loday, Jean-Louis and Vallette, Bruno}, |
|
|
|
title={Algebraic Operads}, |
|
|
|
author={Loday, J. and Vallette, B.}, |
|
|
|
volume={346}, |
|
|
|
year={2012}, |
|
|
|
publisher={Springer} |
|
|
|
} |
|
|
|
|
|
|
|
@book{may, |
|
|
|
title={A concise course in algebraic topology}, |
|
|
|
author={May, J Peter}, |
|
|
|
title={A Concise Course in Algebraic Topology}, |
|
|
|
author={May, J.P.}, |
|
|
|
year={1999}, |
|
|
|
publisher={University of Chicago Press} |
|
|
|
} |
|
|
|
|
|
|
|
@book{mccleary, |
|
|
|
title={A user's guide to spectral sequences}, |
|
|
|
author={McCleary, John}, |
|
|
|
title={A User's Guide to Spectral Sequences}, |
|
|
|
author={McCleary, J.}, |
|
|
|
number={58}, |
|
|
|
year={2001}, |
|
|
|
publisher={Cambridge University Press} |
|
|
|
} |
|
|
|
|
|
|
|
@article{olsson, |
|
|
|
title={The bar construction and affine stacks}, |
|
|
|
author={Olsson, Martin}, |
|
|
|
journal={Preprint. Available at http://math. berkeley. edu/molsson}, |
|
|
|
publisher={Citeseer} |
|
|
|
@unpublished{olsson, |
|
|
|
title={The Bar Construction and Affine Stacks}, |
|
|
|
author={Olsson, M.}, |
|
|
|
journal={Preprint. Available at http://math.berkeley.edu/molsson}, |
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
@article{quillen, |
|
|
|
title={Rational homotopy theory}, |
|
|
|
author={Quillen, Daniel}, |
|
|
|
title={Rational Homotopy Theory}, |
|
|
|
author={Quillen, D.}, |
|
|
|
journal={Annals of Mathematics}, |
|
|
|
pages={205--295}, |
|
|
|
year={1969}, |
|
|
@ -138,24 +136,24 @@ |
|
|
|
} |
|
|
|
|
|
|
|
@book{riehl, |
|
|
|
title={Categorical homotopy theory}, |
|
|
|
author={Riehl, Emily}, |
|
|
|
title={Categorical Homotopy Theory}, |
|
|
|
author={Riehl, E.}, |
|
|
|
volume={24}, |
|
|
|
year={2014}, |
|
|
|
publisher={Cambridge University Press} |
|
|
|
} |
|
|
|
|
|
|
|
@book{rotman, |
|
|
|
title={An introduction to homological algebra}, |
|
|
|
author={Rotman, Joseph J and Rotman, Joseph Jonah}, |
|
|
|
title={An Introduction to Homological Algebra}, |
|
|
|
author={Rotman, J.J.}, |
|
|
|
volume={2}, |
|
|
|
year={2009}, |
|
|
|
publisher={Springer} |
|
|
|
} |
|
|
|
|
|
|
|
@article{serre, |
|
|
|
title={Groupes d'homotopie et classes de groupes abeliens}, |
|
|
|
author={Serre, Jean-Pierre}, |
|
|
|
title={Groupes d'Homotopie et Classes de Groupes Abeliens}, |
|
|
|
author={Serre, J.P.}, |
|
|
|
journal={Annals of Mathematics}, |
|
|
|
pages={258--294}, |
|
|
|
year={1953}, |
|
|
@ -163,8 +161,8 @@ |
|
|
|
} |
|
|
|
|
|
|
|
@book{spanier, |
|
|
|
title={Algebraic topology}, |
|
|
|
author={Spanier, Edwin H}, |
|
|
|
title={Algebraic Topology}, |
|
|
|
author={Spanier, E.H.}, |
|
|
|
volume={55}, |
|
|
|
year={1994}, |
|
|
|
publisher={Springer} |
|
|
@ -172,15 +170,15 @@ |
|
|
|
|
|
|
|
@book{sullivan, |
|
|
|
title={Geometric Topology: Localization, Periodicity and Galois Symmetry: the 1970 MIT Notes}, |
|
|
|
author={Sullivan, Dennis Parnell and Ranicki, Andrew}, |
|
|
|
author={Sullivan, D.P. and Ranicki, A.}, |
|
|
|
volume={8}, |
|
|
|
year={2005}, |
|
|
|
publisher={Springer} |
|
|
|
} |
|
|
|
|
|
|
|
@book{weibel, |
|
|
|
title={An introduction to homological algebra}, |
|
|
|
author={Weibel, Charles A}, |
|
|
|
title={An Introduction to Homological Algebra}, |
|
|
|
author={Weibel, C.A.}, |
|
|
|
number={38}, |
|
|
|
year={1995}, |
|
|
|
publisher={Cambridge university press} |
|
|
|