Homology of spaces with operators. I
Author:
Samuel Eilenberg
Journal:
Trans. Amer. Math. Soc. 61 (1947), 378-417
MSC:
Primary 56.0X
DOI:
https://doi.org/10.1090/S0002-9947-1947-0021313-4
MathSciNet review:
0021313
Full-text PDF
References | Similar Articles | Additional Information
- [1] Beno Eckmann, Der Cohomologie-Ring einer beliebigen Gruppe, Comment. Math. Helv. 18 (1946), 232–282 (German). MR 0017536, https://doi.org/10.1007/BF02568113
- [2] Samuel Eilenberg, On a theorem of P. A. Smith concerning fixed points for periodic transformations, Duke Math. J. 6 (1940), 428–437. MR 0001920
- [3] Samuel Eilenberg, Singular homology theory, Ann. of Math. (2) 45 (1944), 407–447. MR 0010970, https://doi.org/10.2307/1969185
- [4] Samuel Eilenberg, Singular homology in differentiable manifolds, Ann. of Math. (2) 48 (1947), 670–681. MR 0021314, https://doi.org/10.2307/1969134
- [5] Samuel Eilenberg and Saunders MacLane, Relations between homology and homotopy groups, Proc. Nat. Acad. Sci. U. S. A. 29 (1943), 155–158. MR 0007982
- [6] Samuel Eilenberg and Saunders MacLane, Relations between homology and homotopy groups of spaces, Ann. of Math. (2) 46 (1945), 480–509. MR 0013312, https://doi.org/10.2307/1969165
- [7] Samuel Eilenberg and Saunders MacLane, Cohomology theory in abstract groups. I, Ann. of Math. (2) 48 (1947), 51–78. MR 0019092, https://doi.org/10.2307/1969215
- [8] Hans Freudenthal, Der Einfluss der Fundamentalgruppe auf die Bettischen Gruppen, Ann. of Math. (2) 47 (1946), 274–316 (German). MR 0017535, https://doi.org/10.2307/1969247
- [9
]
Heinz
Hopf, Nachtrag zu der Arbeit Fundamentalgruppe und zweite Bettische
Gruppe, Comment. Math. Helv. 15 (1943), 27–32
(German). MR
0007646, https://doi.org/10.1007/BF02565629
- [10] Heinz Hopf, Über die Bettischen Gruppen, die zu einer beliebigen Gruppe gehören, Comment. Math. Helv. 17 (1945), 39–79 (German). MR 0012229, https://doi.org/10.1007/BF02566234
- [11] Heinz Hopf, Beiträge zur Homotopietheorie, Comment. Math. Helv. 17 (1945), 307–326 (German). MR 0012544, https://doi.org/10.1007/BF02566250
- [12
]
W. Hurewicz, Beiträge zur Topologie der Deformationen, Proceedings of the section of science, K. Akademie van wetenschappen, Amsterdam vol. 38 (1935) pp. 112-119, 521-528; vol. 39 (1935) pp. 117-125, 215-224.
- [13] J. L. Kelley and Everett Pitcher, Exact homomorphism sequences in homology theory, Ann. of Math. (2) 48 (1947), 682–709. MR 0021315, https://doi.org/10.2307/1969135
- [14] Solomon Lefschetz, Algebraic Topology, American Mathematical Society Colloquium Publications, v. 27, American Mathematical Society, New York, 1942. MR 0007093
- [15] Georges de Rham, Sur les complexes avec automorphismes, Comment. Math. Helv. 12 (1940), 191–211 (French). MR 0002551, https://doi.org/10.1007/BF01620647
- [16] P. A. Smith, Fixed points of periodic transformations, Appendix to [14], pp. 350-373.
- [17] N. E. Steenrod, Homology with local coefficients, Ann. of Math. (2) 44 (1943), 610–627. MR 0009114, https://doi.org/10.2307/1969099
Retrieve articles in Transactions of the American Mathematical Society with MSC: 56.0X
Retrieve articles in all journals with MSC: 56.0X
Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1947-0021313-4
Article copyright:
© Copyright 1947
American Mathematical Society


