Homomorphisms of homotopy structures

I. Berstein; P. J. Hilton

Séminaire Ehresmann. Topologie et géométrie différentielle (1963)

  • Volume: 5, page 1-24

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Berstein, I., and Hilton, P. J.. "Homomorphisms of homotopy structures." Séminaire Ehresmann. Topologie et géométrie différentielle 5 (1963): 1-24. <http://eudml.org/doc/111047>.

@article{Berstein1963,
author = {Berstein, I., Hilton, P. J.},
journal = {Séminaire Ehresmann. Topologie et géométrie différentielle},
keywords = {topology},
language = {eng},
pages = {1-24},
publisher = {Secrétariat mathématique},
title = {Homomorphisms of homotopy structures},
url = {http://eudml.org/doc/111047},
volume = {5},
year = {1963},
}

TY - JOUR
AU - Berstein, I.
AU - Hilton, P. J.
TI - Homomorphisms of homotopy structures
JO - Séminaire Ehresmann. Topologie et géométrie différentielle
PY - 1963
PB - Secrétariat mathématique
VL - 5
SP - 1
EP - 24
LA - eng
KW - topology
UR - http://eudml.org/doc/111047
ER -

References

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  1. [1] I. Berstein. Sur la catégorie de Lusternik-Schnirelmann, C.R. Acad. Sci. (Paris), (1958), 362- 364. Zbl0080.15804MR96221
  2. [2] I. Berstein and T. Ganea. The category of a map and of a cohomology class, Fund. Math.50 (1962), 265- 279. Zbl0192.29302MR139168
  3. [3] I. Berstein and T. Ganea. On the homotopy commutativity of suspensions, I11. J. Math., 6 (1962), 336- 340. Zbl0107.40503MR141124
  4. [4] I. Berstein and P.J. Hilton. Category and generalized Hopf invariants, I11J. Math., 4 (1960), 437-451. Zbl0113.38301MR126276
  5. [5] C.R. Curjel. A note on spaces of category ≤ 2, Math. Zeitschr.80 (1963), 293-299. Zbl0105.17102MR154280
  6. [6] B. Eckmann and P.J. Hilton. Décomposition homologique d'un polyèdre simplement connexe, C. R.248 (1959), 2054- 2056. Zbl0092.40201MR104220
  7. [7] B. Eckmann and P.J. Hilton. Homotopy groups of maps and exact sequences, Comm. Math. Helv. , 34 (1960), 271- 304. Zbl0099.17904MR123325
  8. [8] R.H. Fox. On the Lusternik-Schnirelmann category, Ann. of Math.42 (1941), 333- 370. Zbl0027.43104MR4108
  9. [9] T. Ganea. Fibrations and cocategory, Comm. Math. Helv., 35 (1961), 15-24. Zbl0093.37102MR124900
  10. [10] T. Ganea, P.J. Hilton and F.P. Peterson. On the homotopy commutativity of loop-spaces and suspensions, Topology (1) (1962), 133-141. Zbl0109.41403MR150774
  11. [11] M. Ginsberg. Categorial invariants and fiber spaces, Colloquium on Algebraic Topology, Aarhus (1962), 84- 88. Zbl0148.17101
  12. [12] P.J. Hilton. Homotopy theory and duality, Lecture Notes, Cornell University (1958/59). 
  13. [13] D.W. Kahn. Induced maps for Postnikov systems, Colloquium on Algebraic Topology, Aarhus (1962), 47- 51. Zbl0139.41203MR150777
  14. [14] J.C. Moore. Exposé 22 (Appendice), Séminaire Henri Cartan, 1954/55. 
  15. [15] F.P. Peterson. Numerical invariants of homotopy type, Colloquium on Algebraic Topology, Aarhus (1962), 79-83. Zbl0151.31403
  16. [16] A.S. Svarc. The genus of a fibre space, Trudy Moskovskogo Matematiceskogo Obscestva10 (1961), 216-272; 11 (1962), 99- 126. MR151982
  17. [17] I. Berstein and P.J. Hilton. On suspensions and comultiplications, Topology (2) (1963), 73 - 82 . Zbl0115.40403MR150775
  18. [18] T. Ganea. Catégorie 1-dimensionelle et homomorphismes de groupes fondamentaux, C. R. Acad. Sci, Paris, 242 (1956), 1407- 1410. Zbl0071.16601MR76329
  19. [19] T. Ganea. Lusternik-Schnirelmann category and cocategory, Proc. Lond. Math. Soc.10 (1960), 623-639. Zbl0101.15802MR126278

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