Lectures on minimal models

S. Halperin

Mémoires de la Société Mathématique de France (1983)

  • Volume: 9-10, page 1-261
  • ISSN: 0249-633X

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Halperin, S.. "Lectures on minimal models." Mémoires de la Société Mathématique de France 9-10 (1983): 1-261. <http://eudml.org/doc/94833>.

@article{Halperin1983,
author = {Halperin, S.},
journal = {Mémoires de la Société Mathématique de France},
keywords = {simplicial de Rham algebra; minimal models; free differential graded algebras; rational homotopy type of a space; Postnikov decomposition; rational spaces; formal spaces; rational fibrations},
language = {eng},
pages = {1-261},
publisher = {Société mathématique de France},
title = {Lectures on minimal models},
url = {http://eudml.org/doc/94833},
volume = {9-10},
year = {1983},
}

TY - JOUR
AU - Halperin, S.
TI - Lectures on minimal models
JO - Mémoires de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 9-10
SP - 1
EP - 261
LA - eng
KW - simplicial de Rham algebra; minimal models; free differential graded algebras; rational homotopy type of a space; Postnikov decomposition; rational spaces; formal spaces; rational fibrations
UR - http://eudml.org/doc/94833
ER -

References

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  1. [B-L] H.J. Baues and J.M. Lemaire, Minimal models in homotopy theory, Math. Ann. 255 (1977) 219-242. Zbl0322.55019MR55 #4174
  2. [B-G] A.K. Bousfield and V.K.A.M. Gugenheim, On PL de Rham theory and rational homotopy type, Memoires of the A.M.S. 179 (1976). Zbl0338.55008MR54 #13906
  3. [C] H. Cartan, Théories cohomologiques, Inventiones math. 35 (1976) 261-271. Zbl0334.55005MR55 #4139
  4. [Ch] K.T. Chen, Iterated integrals of differential forms and loop space homology, Ann. of Math. 97 (1973) 217-246. Zbl0227.58003MR52 #1756
  5. [G-M] P.A. Griffiths and J.W. Morgan, Rational homotopy theory and differential forms, Progress in Mathematics, vol. 6, Birkhauser (1981). Zbl0474.55001MR82m:55014
  6. [G] P. P. Grivel, Formes différentielles et suites spectrales, Ann. Inst. Fourier 29 (1979) 17-37. Zbl0381.55008MR81b:55041
  7. [L1] D. Lehmann, Resumé de la théorie du type d'homotopie rationelle de Sullifan, Publ. Internes de l'U.E.R. de Math., Université de Lille I, 86 (1976). 
  8. [L2] D. Lehmann, Theorié homotopique des formes differentielles, Asterique 45, S.M.F. (1977). Zbl0367.55008MR58 #7616
  9. [S] D. Sullivan, Infinitesimal computations in topology, Publ. I.H.E.S. 47 (1977) 269-331. Zbl0374.57002MR58 #31119
  10. [Sw] R.G. Swan, Thom's theory of differential forms on simplicial sets, Topology 14 (1975) 271-273. Zbl0319.58004MR52 #4327
  11. [Ta] D. Tanré, Homotopie rationelle: Modèles de Chen, Quillen, Sullivan, to appear. 
  12. [W] C. Watkiss, Cohaines commutatives sur les ensembles simpliciaux, Publ. Internes de l'U.E.R. de Math., Université de Lille I, 107 (1976). 
  13. [W-T] Wu Wen Taün, Theory of I*-functor in algebraic topology, I Scientia Sinica 18 (1975 464-482, II Scientia Sinica 19 (1976) 647-664. Zbl0336.55019

Citations in EuDML Documents

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  1. Marek Golasiński, Componentwise injective models of functors to DGAs
  2. Nicolas Dupont, Micheline Vigué-Poirrier, Formalité des espaces de lacets libres
  3. Antonio Garvín, Luis Lechuga, Aniceto Murillo, Vicente Muñoz, Antonio Viruel, An extension of Miller's version of the de Rham Theorem with any coefficients
  4. Abdou Koulder Ben-Naoum, Yves Félix, Lefschetz number and degree of a self-map
  5. Mohammed El Haouari, Rétractes d'un espace
  6. Marek Golasiński, Injective models of G -disconnected simplicial sets
  7. Gregory Lupton, Variations on a conjecture of Halperin
  8. Urtzi Buijs, Aniceto Murillo, Basic constructions in rational homotopy theory of function spaces
  9. Marek Golasiński, On G -disconnected injective models
  10. Yves Félix, The center of a graded connected Lie algebra is a nice ideal

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