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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Duality and ${\text{S}}$-theory

Author(s): E. H. Spanier
Journal: Bull. Amer. Math. Soc. 62 (1956), 194-203.
MathSciNet review: 0085506
Retrieve article in: PDF

References | Additional information

References:

1.
M. G. Barratt, Track groups (1), Proc. London Math. Soc. (3) vol. 5 (1955) pp. 71-106. MR 72477
2.
K. Borsuk, Sur les groupes des classes de transformations continues, C. R. Acad. Sci. Paris vol. 202 (1936) pp. 1400-1403.
3.
L. E. J. Brouwer, Über Abbildungen von MannigfaltigkeitenMath. Ann. vol. 71 (1912) pp. 97-115.
4.
S. Eilenberg, Cohomology and continuous mappings, Ann. of Math. vol. 41 (1940) pp. 231-251. See also, Lectures in topology, University of Michigan Press, 1941, pp. 57-100. MR 1351
5.
S. Eilenberg and N. E. Steenrod, Foundations of algebraic topology, Princeton University Press, 1952. MR 50886
6.
H. Freudenthal, Über die Klassen der SphärenabbildungenI, Compositio Math, vol. 5 (1937) pp. 299-314.
7.
P. J. Hilton, An introduction to homotopy theory, Cambridge University Press, 1953. MR 56289
8.
H. Hopf, Die Klassen der Abbildungen der n-dimensionalen Polyeder auf der n-dimensionale Sphäre, Comment. Math. Helv. vol. 5 (1933) pp. 39-54. MR 1509466
9.
S. T. Hu, An exposition of the relative homotopy theory, Duke Math. J. vol. 14 (1947) pp. 991-1033. MR 23052
10.
W. Hurewicz, Beitrage zur Topologie der Deformationen I-IV, Proc. Akad. Amsterdam vol. 38 (1935) pp. 112-119, 521-528 and vol. 39 (1936) pp. 117-126, 215-224.
11.
W. S. Massey, Exact couples in algebraic topology, Ann. of Math. vol. 56 (1952) pp. 353-396 and vol. 57 (1953) pp. 248-256. MR 55686
12.
E. H. Spanier, Borsuk's cohomotopy groups, Ann. of Math. vol. 50 (1949) pp. 203-245. MR 29170
13.
E. H. Spanier and J. H. C. Whitehead, A first approximation to homotopy theory, Proc. Nat. Acad. Sci. vol. 39 (1953) pp. 655-660. MR 56290
14.
E. H. Spanier and J. H. C. Whitehead, Obstructions to compression, Quarterly J. of Math. vol. 6 (1955) pp. 91-100. MR 71770
15.
E. H. Spanier and J. H. C. Whitehead, Duality in homotopy theory, Mathematika vol. 2 (1955) pp. 56-80. MR 74823
16.
E. H. Spanier and J. H. C. Whitehead, The theory of carriers and S-theory (to appear).
17.
E. H. Spanier and J. H. C. Whitehead, Duality in relative homotopy theory, Algebraic geometry and topology (A symposium in honor of S. Lefschetz), Princeton University Press, 1956.
18.
N. E. Steenrod, Products of cocycles and extensions of mappings, Ann. of Math, vol. 48 (1947) pp. 290-320. MR 22071
19.
G. W. Whitehead, On the Freudenthal theorems, Ann. of Math. vol. 57 (1953) pp. 209-228. MR 55683
20.
J. H. C. Whitehead, Combinatorial homotopy I, Bull. Amer. Math. Soc. vol. 55 (1949) pp. 213-245. MR 30759
21.
J. H. C. Whitehead, A certain exact sequence, Ann. of Math. vol. 52 (1950) pp. 51-110. MR 35997
22.
H. Whitney, The maps of an n-complex into an n-sphere, Duke Math. J. vol. 3 (1937) pp. 51-55. MR 1545972


Additional Information:

DOI: 10.1090/S0002-9904-1956-10014-1
PII: S 0002-9904(1956)10014-1




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