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Existence of the stable homotopy family $\left\{ {\gamma _t } \right\}$
Author:
Raphael Zahler
Journal:
Bull. Amer. Math. Soc. 79 (1973), 787-789
MSC (1970):
Primary 55E45, 55G25, 55G20; Secondary 55B20
MathSciNet review:
0324694
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
J.
F. Adams, On the groups 𝐽(𝑋). IV, Topology
5 (1966), 21–71. MR 0198470
(33 #6628)
- 2.
Edgar
H. Brown Jr. and Franklin
P. Peterson, A spectrum whose 𝑍_{𝑝} cohomology is
the algebra of reduced 𝑝^{𝑡ℎ} powers, Topology
5 (1966), 149–154. MR 0192494
(33 #719)
- 3.
C.
R. F. Maunder, Cohomology operations of the
𝑁𝑡ℎ kind, Proc. London Math. Soc. (3)
13 (1963), 125–154. MR 0211398
(35 #2279)
- 4.
Hirosi
Toda, 𝑝-primary components of homotopy groups. IV.
Compositions and toric constructions, Mem. Coll. Sci. Univ. Kyoto.
Ser. A. Math. 32 (1959), 297–332. MR 0111041
(22 #1906)
- 5.
Hirosi
Toda, An important relation in homotopy groups of spheres,
Proc. Japan Acad. 43 (1967), 839–842. MR 0230310
(37 #5872)
- 6.
Hirosi
Toda, On spectra realizing exterior parts of the Steenrod
algebra, Topology 10 (1971), 53–65. MR 0271933
(42 #6814)
- 7.
Hirosi
Toda, Algebra of stable homotopy of 𝑍_{𝑝}-spaces
and applications, J. Math. Kyoto Univ. 11 (1971),
197–251. MR 0293631
(45 #2708)
- 8.
Larry
Smith, On realizing complex bordism modules. Applications to the
stable homotopy of spheres, Amer. J. Math. 92 (1970),
793–856. MR 0275429
(43 #1186a)
- 9.
H. Toda, Private communication.
- 10.
Larry
Smith and Raphael
Zahler, Detecting stable homotopy classes by primary BP cohomology
operations, Math. Z. 129 (1972), 137–156. MR 0314044
(47 #2596)
- 11.
Raphael
Zahler, The Adams-Novikov spectral sequence for the spheres,
Ann. of Math. (2) 96 (1972), 480–504. MR 0319197
(47 #7742)
- 12.
Raphael
Zahler, Detecting stable homotopy with secondary cobordism
operations. I, Quart. J. Math. Oxford Ser. (2) 25
(1974), 213–226. MR 0367998
(51 #4240)
- 1.
- J. F. Adams, On the groups J(X). IV, Topology 5 (1966), 21-71; correction, ibid. 7 (1968), 331. MR 33 # 6628; MR 37 # 5874. MR 198470
- 2.
- E. H. Brown, Jr. and F. P. Peterson, A spectrum whose Z, Topology 5 (1966), 149-154. MR 33 # 719. MR 192494
- 3.
- C. R. F. Maunder, Cohomology operations of the Nth kind, Proc. London Math. Soc. (3) 13 (1963), 125-154. MR 35 # 2279. MR 211398
- 4.
- H. Toda, p-primary components of homotopy groups. IV. Compositions and toric constructions, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 32 (1959), 297-332. MR 22 # 1906. MR 111041
- 5.
- H. Toda, An important relation in homotopy groups of spheres, Proc. Japan Acad. 43 (1967), 839-842. MR 37 # 5872. MR 230310
- 6.
- H. Toda, On spectra realizing exterior parts of the Steenrod algebra, Topology 10 (1971), 53-65. MR 42 # 6814. MR 271933
- 7.
- H. Toda, Algebra of stable homotopy of Z, Kyoto J. Math. 11 (1971), 197-251. MR 293631
- 8.
- L. Smith, On realizing complex bordism modules. I. Applications to the stable homotopy of spheres, Amer. J. Math. 92 (1970), 793-856. MR 43 # 1186a. MR 275429
- 9.
- H. Toda, Private communication.
- 10.
- L. Smith and R. Zahler, Detecting stable homotopy classes by primary BP cohomology operations, Math. Z. 129 (1972), 137-156. MR 314044
- 11.
- R. Zahler, The Adams-Novikov spectral sequence for the spheres, Ann. of Math. (2) 96 (1972), 408-504. MR 319197
- 12.
- R. Zahler, Detecting stable homotopy with secondary cobordism operations, I (to appear). MR 367998
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1973-13317-8
PII:
S 0002-9904(1973)13317-8
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