Actions, functors and the bar construction

A. D. Elmendorf

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1985)

  • Volume: 26, Issue: 4, page 329-338
  • ISSN: 1245-530X

How to cite

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Elmendorf, A. D.. "Actions, functors and the bar construction." Cahiers de Topologie et Géométrie Différentielle Catégoriques 26.4 (1985): 329-338. <http://eudml.org/doc/91368>.

@article{Elmendorf1985,
author = {Elmendorf, A. D.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {actions; functors; topological categories; cobar constructions; internal Hom-object; comma category; k-space; locally Cartesian closed category},
language = {eng},
number = {4},
pages = {329-338},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Actions, functors and the bar construction},
url = {http://eudml.org/doc/91368},
volume = {26},
year = {1985},
}

TY - JOUR
AU - Elmendorf, A. D.
TI - Actions, functors and the bar construction
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1985
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 26
IS - 4
SP - 329
EP - 338
LA - eng
KW - actions; functors; topological categories; cobar constructions; internal Hom-object; comma category; k-space; locally Cartesian closed category
UR - http://eudml.org/doc/91368
ER -

References

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  1. 1 Booth, P.I., The section problem and the lifting problem, Math. Zeitsch.121 (1971), 273-287. Zbl0207.22203MR298657
  2. 2 Booth, P.I., The exponential law of maps II, Math. Zeitsch.121 (1971), 311-319 Zbl0207.22202MR298658
  3. 3 Booth, P.I., Heath, P.R. & Piccinini, R.A., Fibre preserving maps and functional spaces, Lecture Notes in Math.673, Springer (1978), 158-167. Zbl0399.55001MR517090
  4. 4 Elmendorf, A.D., Systems of fixed point sets, Trans. AMS277 (1983), 275-284. Zbl0521.57027MR690052
  5. 5 Johnstone, P.T., Topos Theory, Academic Press, 1977. Zbl0368.18001MR470019
  6. 6 Lewis, L.G., Open maps, colimits, and a convenient category of fibre spaces, Topology & its Appl.19 (1985), 75-89. Zbl0559.18005MR786083
  7. 7 Maclane, S., Categories for the working mathematician, Graduate Texts in Math.5, Springer1971. Zbl0232.18001MR354798
  8. 8 May, J.P., Classifying spaces and fibrations, Memoirs AMS155 (1975). Zbl0321.55033MR370579
  9. 9 Meyer, J.-P., Bar and cobar constructions, I, J. Pure and Appl. Algebra33 (1984), 163-207. Zbl0542.57036MR754954
  10. 10 Meyer, J.-P., Geometric realization in general categories, Preprint. 
  11. 11 Meyer, J.-P., Mappings of bar constructions, Israel J. of Math.48 (1984), 331-339. Zbl0587.55013MR776313
  12. 12 Meyer, J.-P., Bar and cobar constructions, II, Preprint. Zbl0625.57024MR866618

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