Formality of the function space of free maps into an elliptic space

Toshihiro Yamaguchi

Bulletin de la Société Mathématique de France (2000)

  • Volume: 128, Issue: 2, page 207-218
  • ISSN: 0037-9484

How to cite

top

Yamaguchi, Toshihiro. "Formality of the function space of free maps into an elliptic space." Bulletin de la Société Mathématique de France 128.2 (2000): 207-218. <http://eudml.org/doc/87826>.

@article{Yamaguchi2000,
author = {Yamaguchi, Toshihiro},
journal = {Bulletin de la Société Mathématique de France},
language = {eng},
number = {2},
pages = {207-218},
publisher = {Société mathématique de France},
title = {Formality of the function space of free maps into an elliptic space},
url = {http://eudml.org/doc/87826},
volume = {128},
year = {2000},
}

TY - JOUR
AU - Yamaguchi, Toshihiro
TI - Formality of the function space of free maps into an elliptic space
JO - Bulletin de la Société Mathématique de France
PY - 2000
PB - Société mathématique de France
VL - 128
IS - 2
SP - 207
EP - 218
LA - eng
UR - http://eudml.org/doc/87826
ER -

References

top
  1. [1] BAUES (H.J.). — Algebraic homotopy. — Cambridge Studies in Advanced Mathematics, 15, 1988. Zbl0688.55001
  2. [2] BROWN (E.H.), SZCZARBA (R.H.). — On the rational homotopy type of function spaces, preprint, 1997. Zbl0927.55012MR98c:55015
  3. [3] DELIGNE (P.), GRIFFITHS (P.), MORGAN (J.), SULLIVAN (D.). — The real homotopy theory of Kaehler manifolds, Invent. Math., t. 29, 1975, p. 245-274. Zbl0312.55011MR52 #3584
  4. [4] DUPONT (N.), VIGUÉ-POIRRIER (M.). — Formalité des espaces de lacets libres, Bull. Soc. Math. France, t. 126, 1998, p. 141-148. Zbl0918.55003MR99i:55018
  5. [5] FÉLIX (Y.), HALPERIN (S.). — Formal spaces with finite-dimensional rational homotopy, Transactions Amer. Math. Soc., t. 270, 1982, p. 575-588. Zbl0489.55009MR83h:55023
  6. [6] HALPERIN (S.). — Finiteness in the minimal models of Sullivan, Trans. Amer. Math. Soc., t. 230, 1977, p. 173-199. Zbl0364.55014MR57 #1493
  7. [7] HALPERIN (S.). — Rational fibrations, minimal models and fibrings of homogeneous spaces, Trans. Amer. Math. Soc., t. 244, 1978, p. 199-223. Zbl0387.55010MR58 #24264
  8. [8] LUPTON (G.). — Variations on a conjecture of Halperin, preprint, 1998. MR99m:55014
  9. [9] PAPADIMA (S.). — The cellular structure of formal homotopy types, J. Pure Applied Alg., t. 35, 1985, p. 171-184. Zbl0561.55012MR86g:55015
  10. [10] THOMAS (J.-C.). — Homotopie rationelle des fibrés de Serre, thèse, 1980. 
  11. [11] THOMAS (J.-C.). — Rational homotopy of Serre fibration, Ann. Inst. Fourier Grenoble, t. 31, 3, 1981, p. 71-90. Zbl0446.55009MR83c:55016

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.