Two Term Conditions in π Exact Couples
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1263-1288

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In achieving his celebrated results on the homology groups of fibre spaces, J. P. Serre used the exact couple of a fibring defined by J. Leray. One of his main tools was the so-called two-term condition on the E2 term of this exact couple, which, if satisfied, yielded exact sequences, such as those of Gysin and Wang (see (5), Chapter IX). H. Fédérer, in (3), defined an exact couple (X, F, v) on the mapping space M(X, Y) = {ƒ:X → Y|X, Y are spaces and ƒ is continuous} with the compact-open topology, where X is a locally finite CW complex and Y is arc-connected and n-simple for all n.
Dyer, Micheal N. Two Term Conditions in π Exact Couples. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1263-1288. doi: 10.4153/CJM-1967-116-6
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[1] 1. Barratt, M. G., Track groups I, II, Proc. London Math. Soc., 5 (1955), 71–106, 285-329. Google Scholar

[2] 2. Eilenberg, Samuel and Steenrod, Norman, Foundations of algebraic topology (Princeton, 1952). Google Scholar

[3] 3. Federer, Herbert, A study of function spaces by spectral sequences., Trans. Amer. Math. Soc., 82 (1956), 340–361. Google Scholar

[4] 4. Hilton, P. J. and Wilie, Shawn, Homology theory (Cambridge, 1960). Google Scholar

[5] 5. Hu, S. T., Homotopy theory (New York, 1959). Google Scholar

[6] 6. Hu, S. T., Structure of homotopy groups of mapping spaces, Amer. J. Math., 71 (1949), 574–586. Google Scholar

[7] 7. Lefschetz, Solomon, Introduction to topology (Princeton, 1949). Google Scholar

[8] 8. Thorn, René, L'Homologie des espaces fonctionnels, Coll. de Top. Alg., Bruxelles, 7 (1957), 29–39. Google Scholar

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