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Rutter, John W.

The suspension of the loops on a space with comultiplication. (English) Zbl 0267.55012

Math. Ann. 209, 69-82 (1974).
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Cited in 4 Documents

MSC:

55P05 Homotopy extension properties, cofibrations in algebraic topology
55P10 Homotopy equivalences in algebraic topology
55P40 Suspensions
55P35 Loop spaces
55P45 \(H\)-spaces and duals
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References:

[1] Berstein, I.: A note on spaces with non-associative comultiplication. Proc. Camb. Phil. Soc.60, 353-354 (1964) · Zbl 0119.18702 · doi:10.1017/S0305004100037816
[2] Berstein, I.: On cogroups in the category of graded algebras. Trans Amer. Math. Soc.115, 257-269 (1965) · Zbl 0134.42404 · doi:10.1090/S0002-9947-1965-0206941-6
[3] Bott, R., Samelson, H.: On the Pontryagin product in spaces of paths. Comm. Math. Helv.27, 320-337 (1953) · Zbl 0052.19301 · doi:10.1007/BF02564566
[4] Cartan, H., Eilenberg, S.: Homological algebra. Princeton University Press 1956 · Zbl 0075.24305
[5] Ganea, T.: On the homotopy suspension. Comm. Math. Helv.43, 225-234 (1968) · Zbl 0165.56603 · doi:10.1007/BF02564393
[6] Ganea, T.: Cogroups and suspensions. Invent. math.9, 185-197 (1970) · Zbl 0194.55103 · doi:10.1007/BF01404323
[7] Hilton, P. J.: Homotopy theory and duality. New York: Gordon and Breach 1965 · Zbl 0152.21901
[8] MacLane, S.: Homology. New York: Academic Press 1963
[9] Rutter, J. W.: A coclassifying map for the inclusion of the wedge in the product. Math. Z.129, 173-183 (1972) · Zbl 0235.55014 · doi:10.1007/BF01187346
[10] Rutter, J. W.: A derived homotopy product. Math. Z.133, 343-356 (1973) · doi:10.1007/BF01177873
[11] Rutter, J. W.: Fibred joins of fibrations and maps I. Bull. London. Math. Soc.4, 187-190 (1972) · Zbl 0246.55009 · doi:10.1112/blms/4.2.187
[12] Rutter, J. W.: Fibred joins of fibrations and maps II. J. London. Math. Soc. (2)8 (1974) · Zbl 0288.55014
[13] Sugawara, M.: On a condition that a space is anH-space. Math. J. Okayama Univ.6, 109-129 (1957) · Zbl 0077.16702
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