Un groupoïde simplicial comme modèle de l'espace des chemins

Clemens Berger

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 1, page 1-32
  • ISSN: 0037-9484

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Berger, Clemens. "Un groupoïde simplicial comme modèle de l'espace des chemins." Bulletin de la Société Mathématique de France 123.1 (1995): 1-32. <http://eudml.org/doc/87709>.

@article{Berger1995,
author = {Berger, Clemens},
journal = {Bulletin de la Société Mathématique de France},
keywords = {prismatic homotopy; simplicial groupoid; path object; loop bundle; Kan universal bundle; Baues cubical cobar construction},
language = {fre},
number = {1},
pages = {1-32},
publisher = {Société mathématique de France},
title = {Un groupoïde simplicial comme modèle de l'espace des chemins},
url = {http://eudml.org/doc/87709},
volume = {123},
year = {1995},
}

TY - JOUR
AU - Berger, Clemens
TI - Un groupoïde simplicial comme modèle de l'espace des chemins
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 1
SP - 1
EP - 32
LA - fre
KW - prismatic homotopy; simplicial groupoid; path object; loop bundle; Kan universal bundle; Baues cubical cobar construction
UR - http://eudml.org/doc/87709
ER -

References

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  3. [Bau] BAUES (H.-J.). — Geometry of loop spaces and the cobar construction. — Mem. Amer. Math. Soc. 230, 1980. Zbl0473.55009MR81m:55010
  4. [Be] BERGER (C.). — Un modèle simplicial fibrant de l'espace des chemins, C.R. Acad. Sci. Paris, série I, t. 315, 1992, p. 193-196. Zbl0764.55012MR93k:55027
  5. [Br] BROWN (R.). — Topology : a geometric account of general topology, homotopy types and the fundamental groupoid. — Ellis Horwood series, New York, 1988. Zbl0655.55001
  6. [Co] CORDIER (J.-M.). — Sur les limites homotopiques de diagrammes homotopiquement cohérents, Compositio Math., t. 62, 1987, p. 367-388. Zbl0622.55008MR88m:55029
  7. [Cu] CURTIS (E.-B.). — Simplicial homotopy theory, Adv. in Math., t. 6, 1971, p. 107-209. Zbl0225.55002MR43 #5529
  8. [D] DUSKIN (J.). — Free groupoids, trees and free groups, J. Pure and Appl. Algebra, t. 68, 1990, p. 95-108. Zbl0726.18002MR91k:20063
  9. [F-P] FRITSCH (R.) and PICCININI (R.A.). — Cellular structures in topology, Cambridge Studies in Adv. Math., t. 19, 1990. Zbl0837.55001MR92d:55001
  10. [G-Z] GABRIEL (P.) and ZISMAN (M.). — Calculus of fractions and homotopy theory. — Ergebnisse der Math., Bd. 35, Springer Verlag, 1967. Zbl0186.56802MR35 #1019
  11. [K1] KAN (D.M.). — A combinatorial definition of homotopy groups, Ann. of Math., t. 67, 1958, p. 282-312. Zbl0091.36901MR22 #1897
  12. [K2] KAN (D.M.). — On homotopy theory and c.s.s. groups, Ann. of Math., t. 68, 1958, p. 38-53. Zbl0091.36902MR22 #1898
  13. [M] MILNOR (J.). — Construction of universal bundles I, Ann. of Math., t. 63, 1956, p. 272-284. Zbl0071.17302MR17,994b
  14. [Q] QUILLEN (D.G.). — Homotopical algebra, Lecture Notes in Math. 43, Springer Verlag, 1967. Zbl0168.20903MR36 #6480
  15. [R-S] ROURKE (C.P.) and SANDERSON (B.J.). — Introduction to Piecewiselinear topology. — Ergebnisse der Math., Bd. 69, Springer Verlag, 1972. Zbl0254.57010MR50 #3236

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