Induced fibrations and cofibrations
HTML articles powered by AMS MathViewer
- by T. Ganea
- Trans. Amer. Math. Soc. 127 (1967), 442-459
- DOI: https://doi.org/10.1090/S0002-9947-1967-0210131-2
- PDF | Request permission
References
- M. G. Barratt, I. M. James, and N. Stein, Whitehead products and projective spaces, J. Math. Mech. 9 (1960), 813β819. MR 0116331, DOI 10.1512/iumj.1960.9.59050
- I. Berstein and T. Ganea, Homotopical nilpotency, Illinois J. Math. 5 (1961), 99β130. MR 126277
- I. Berstein and P. J. Hilton, Category and generalized Hopf invariants, Illinois J. Math. 4 (1960), 437β451. MR 126276
- I. Berstein and P. J. Hilton, On suspensions and comultiplications, Topology 2 (1963), 73β82. MR 150775, DOI 10.1016/0040-9383(63)90024-7
- B. Eckmann and P. J. Hilton, Operators and cooperators in homotopy theory, Math. Ann. 141 (1960), 1β21 (1960). MR 115162, DOI 10.1007/BF01367447
- Tudor Ganea, Fibrations and cocategory, Comment. Math. Helv. 35 (1961), 15β24. MR 124900, DOI 10.1007/BF02567000
- T. Ganea, A generalization of the homology and homotopy suspension, Comment. Math. Helv. 39 (1965), 295β322. MR 179791, DOI 10.1007/BF02566956
- Tudor Ganea, Upper estimates for the Ljusternik-Ε nirelβ²man category, Soviet Math. Dokl. 2 (1961), 180β183. MR 0132546
- Tudor Ganea and Peter J. Hilton, On the decomposition of spaces in Cartesian products and unions, Proc. Cambridge Philos. Soc. 55 (1959), 248β256. MR 105689, DOI 10.1017/s0305004100033971
- T. Ganea, P. J. Hilton, and F. P. Peterson, On the homotopy-commutativity of loop-spaces and suspensions, Topology 1 (1962), 133β141. MR 150774, DOI 10.1016/0040-9383(65)90021-2
- P. J. Hilton, On a generalization of nilpotency to semi-simplicial complexes, Proc. London Math. Soc. (3) 10 (1960), 604β622. MR 0126270, DOI 10.1112/plms/s3-10.1.604
- P. J. Hilton, On excision and principal fibrations, Comment. Math. Helv. 35 (1961), 77β84. MR 164350, DOI 10.1007/BF02567007
- P. J. Hilton, Remark on loop spaces, Proc. Amer. Math. Soc. 15 (1964), 596β600. MR 165525, DOI 10.1090/S0002-9939-1964-0165525-3
- W. S. Massey, Some problems in algebraic topology and the theory of fibre bundles, Ann. of Math. (2) 62 (1955), 327β359. MR 74828, DOI 10.2307/1970068
- Jean-Pierre Meyer, Principal fibrations, Trans. Amer. Math. Soc. 107 (1963), 177β185. MR 146843, DOI 10.1090/S0002-9947-1963-0146843-5
- John Milnor, On spaces having the homotopy type of a $\textrm {CW}$-complex, Trans. Amer. Math. Soc. 90 (1959), 272β280. MR 100267, DOI 10.1090/S0002-9947-1959-0100267-4
- Yasutoshi Nomura, A generalization of suspension theorems, Nagoya Math. J. 19 (1961), 159β167. MR 138109
- Franklin P. Peterson and Emery Thomas, A note on non-stable cohomology operations, Bol. Soc. Mat. Mexicana (2) 3 (1958), 13β18. MR 105680
- Dieter Puppe, Homotopiemengen und ihre induzierten Abbildungen. I, Math. Z. 69 (1958), 299β344 (German). MR 100265, DOI 10.1007/BF01187411
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 127 (1967), 442-459
- MSC: Primary 55.60
- DOI: https://doi.org/10.1090/S0002-9947-1967-0210131-2
- MathSciNet review: 0210131