Classifying spaces and spectral sequences

Graeme Segal

Publications Mathématiques de l'IHÉS (1968)

  • Volume: 34, page 105-112
  • ISSN: 0073-8301

How to cite

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Segal, Graeme. "Classifying spaces and spectral sequences." Publications Mathématiques de l'IHÉS 34 (1968): 105-112. <http://eudml.org/doc/103878>.

@article{Segal1968,
author = {Segal, Graeme},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {topology},
language = {eng},
pages = {105-112},
publisher = {Institut des Hautes Études Scientifiques},
title = {Classifying spaces and spectral sequences},
url = {http://eudml.org/doc/103878},
volume = {34},
year = {1968},
}

TY - JOUR
AU - Segal, Graeme
TI - Classifying spaces and spectral sequences
JO - Publications Mathématiques de l'IHÉS
PY - 1968
PB - Institut des Hautes Études Scientifiques
VL - 34
SP - 105
EP - 112
LA - eng
KW - topology
UR - http://eudml.org/doc/103878
ER -

References

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  1. [1] M. F. ATIYAH and F. HIRZEBRUCH, Vector bundles and homogeneous spaces, Differential Geometry, Proc. of Symp. in Pure Math., 3, Amer. Math. Soc., 7-38. Zbl0108.17705MR25 #2617
  2. [2] H. CARTAN and S. EILENBERG, Homological algebra, Princeton University Press, 1956. Zbl0075.24305MR17,1040e
  3. [3] A. DOLD, Partitions of unity in the theory of fibrations, Ann. of Math., 78 (1963), 223-255. Zbl0203.25402MR27 #5264
  4. [4] S. EILENBERG and N. E. STEENROD, Foundations of algebraic topology, Princeton University Press, 1952. Zbl0047.41402MR14,398b
  5. [5] R. GODEMENT, Topologie algébrique et théorie des faisceaux, Paris, Hermann, 1958. Zbl0080.16201MR21 #1583
  6. [6] A. GROTHENDIECK, Théorie de la descente, etc., Séminaire Bourbaki, 195 (1959-1960). 
  7. [7] J. L. KELLEY, General topology, Princeton, Van Nostrand, 1955. Zbl0066.16604MR16,1136c
  8. [8] J. MILNOR, Construction of universal bundles, I, Ann. of Math., 63 (1956), 272-284. Zbl0071.17302MR17,994b
  9. [9] J. MILNOR, The realization of a semi-simplicial complex, Ann. of Math., 65 (1957), 357-362. Zbl0078.36602MR18,815d
  10. [10] J. MILNOR, Axiomatic homology theory, Pacific J. Math., 12 (1962), 337-341. Zbl0114.39604MR28 #2544
  11. [11] R. S. PALAIS, The classification of G-spaces, Mem. Amer. Math. Soc., 36, 1960. Zbl0119.38403MR31 #1664
  12. [12] M. ROTHENBERG and N. E. STEENROD, The cohomology of classifying spaces of H-spaces, Bull. Amer. Math. Soc., 71 (1965), 872-875. Zbl0132.19201MR34 #8405
  13. [13] G. B. SEGAL, Equivariant K-theory, Publ. math. I.H.E.S., 34 (1968). Zbl0199.26202MR38 #2769
  14. [14] P. GABRIEL and M. ZISMAN, Calculus of fractions and homotopy theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35, Berlin, Springer, 1967. Zbl0186.56802MR35 #1019

Citations in EuDML Documents

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  1. André Roux, Catégories, complexes et homotopie
  2. Michael Johnson, R. F. C. Walters, On the nerve of an n -category
  3. André Haefliger, Extension of complexes of groups
  4. Marcel Evrard, Fibrations de petites catégories
  5. Eric M. Friedlander, Algebraic cycles, Chow varieties, and Lawson homology
  6. André Haefliger, Sur les classes caractéristiques des feuilletages
  7. Graeme Segal, Equivariant K -theory
  8. Peter Greenberg, Models for actions of certain groupoids
  9. Camilo Arias Abad, Marius Crainic, The Weil algebra and the Van Est isomorphism
  10. Minhyong Kim, A Lefschetz trace formula for equivariant cohomology

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