On the homotopy classification of the extensions of a fixed map
Authors:
W. D. Barcus and M. G. Barratt
Journal:
Trans. Amer. Math. Soc. 88 (1958), 5774
MSC:
Primary 55.00
MathSciNet review:
0097060
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
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 S. Eilenberg, Cohomology and continuous mappings, Ann. of Math. vol. 41 (1940) pp. 231251. MR 0001351 (1:222b)
 [2]
 R. H. Fox, On topologies for function spaces, Bull. Amer. Math. Soc. vol. 51 (1945) pp. 429432. MR 0012224 (6:278d)
 [3]
 P. J. Hilton, On the homotopy groups of the union of spheres, J. London Math. Soc. vol. 30 (1955) pp. 154171. MR 0068218 (16:847d)
 [4]
 P. J. Hilton and J. H. C. Whitehead, Note on the Whitehead product, Ann. of Math. vol. 58 (1953) pp. 429442. MR 0060231 (15:642h)
 [5]
 G. W. Whitehead, A generalization of the Hopf invariant, Ann. of Math. vol. 51 (1950) pp. 192237. MR 0041435 (12:847b)
 [6]
 J. H. C. Whitehead, On simplyconnected, dimensional polyhedra, Comment. Math. Helv. vol. 22 (1949) pp. 4892. MR 0029171 (10:559d)
 [7]
 , On certain theorems of G. W. Whitehead, Ann. of Math. vol. 58 (1953) pp. 418428. MR 0060230 (15:642g)
 [8]
 , On adding relations to homotopy groups, Ann. of Math. vol. 42 (1941) pp. 409428. MR 0004123 (2:323c)
 [9]
 J. R. Jackson, Spaces of mappings on topological products with applications to homotopy theory, Proc. Amer. Math. Soc. vol. 3 (1952) pp. 327333. MR 0047322 (13:859e)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947195800970607
PII:
S 00029947(1958)00970607
Article copyright:
© Copyright 1958
American Mathematical Society
