Über die Rolle des Whiteheadschen Homotopieproduktes für die Homologietheorie

Johannes M. Ebersold

Compositio Mathematica (1954-1956)

  • Volume: 12, page 97-133
  • ISSN: 0010-437X

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Ebersold, Johannes M.. "Über die Rolle des Whiteheadschen Homotopieproduktes für die Homologietheorie." Compositio Mathematica 12 (1954-1956): 97-133. <http://eudml.org/doc/88823>.

@article{Ebersold1954-1956,
author = {Ebersold, Johannes M.},
journal = {Compositio Mathematica},
keywords = {topology},
language = {ger},
pages = {97-133},
publisher = {Kraus Reprint},
title = {Über die Rolle des Whiteheadschen Homotopieproduktes für die Homologietheorie},
url = {http://eudml.org/doc/88823},
volume = {12},
year = {1954-1956},
}

TY - JOUR
AU - Ebersold, Johannes M.
TI - Über die Rolle des Whiteheadschen Homotopieproduktes für die Homologietheorie
JO - Compositio Mathematica
PY - 1954-1956
PB - Kraus Reprint
VL - 12
SP - 97
EP - 133
LA - ger
KW - topology
UR - http://eudml.org/doc/88823
ER -

References

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  1. J.H.C. Whitehead [1] On adding relations to homotopy groups, Annals of Math.42 (1941). Zbl0027.26404MR4123JFM67.0738.04
  2. H. Hopf [2] Fundamentalgruppe und zweite Bettische Gruppe, Comment. Math. Helvet.14 (1942). Zbl0027.09503MR6510JFM68.0503.01
  3. H. Hopf [3] Beiträge zur Homotopietheorie, Comment. Math. Helvet.17 (1944). Zbl0061.40704MR12544
  4. J.H.C. Whitehead [4] On simply connected, 4-dimensional polyhedra, Comment. Math. Helvet.22 (1949). Zbl0036.12704MR29171
  5. L. Pontrjagin [5] Classification of the mappings of an (n + 1 )-dimensional sphere into a polyhedron Kn whose fundamental group and Betti groups of dimensions 2, 3, ..., n -1 are trivial, Izvestiya Akad. Nauk. SSSR., Ser. Mat.14 (1950). MR35014
  6. G. Hirsch [6] Sur le troisième groupe d'homotopie des polyèdres simplement connexes, C. R. Acad. Sci. Paris228 (1949). Zbl0035.11001MR30761
  7. P. Alexandroff und H. Hopf [7] Topologie I (Berlin1935) Zbl0013.07904
  8. S. Eilenberg [8] On the relation between the fundamental group of a space and the higher homotopy groups, Fund. Math.32 (1939). Zbl0021.16204JFM65.0865.01
  9. N.E. Steenrod [9] Products of cocycles and extensions of mappings, Annals of Math.48 (1947). Zbl0030.41602MR22071
  10. J.P. Serre [10] Homologie singulière des espaces fibrés, III, C. R. Acad. Sci. Paris232 (1951). Zbl0042.17402
  11. W. Hurewicz [11] Beiträge zur Topologie der Deformationen, Proc. Akad. Amsterdam: I und II Bd. 38 (1935), III und IV Bd. 39 (1936). Zbl0011.37101
  12. H. Hopf [12] Ueber die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche, Math. Annalen104 (1931). Zbl0001.40703JFM57.0725.01
  13. H. Hopf [13] Topologie der Abbildungen von Mannigfaltigkeiten, Math. Annalen: I Bd. 100 (1928), II Bd. 102 (1930). JFM54.0611.02
  14. H. Hopf [14] Zur Algebra der Abbildungen von Mannigfaltigkeiten, Crelle Journal163 (1930). Zbl56.0501.03JFM56.0501.03
  15. S. Eilenberg und S. Maclane [15] Relations between homology and homotopy of spaces, Annals of Math.46 (1945). Zbl0061.40702
  16. S. Eilenberg [16] On the problems of topology, Annals of Math.50 (1949). Zbl0034.25304MR30189

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