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References
Arnol'd, V. I., On some topological invariants of algebraic functions.Trudy Moskov Mat. Obsc., 21 (1970) (A.M.S. Translation:Trans. Moscow Math. Soc., 30–52).
Atiyah, M. F. &Jones, J. D. S., Topological aspects of Yang-Mills theory.Comm. Math. Phys., 61 (1978), 97–118.
Brockett, R., Some geometric questions in the theory of linear systems. Transactions on automatic control.Inst. Electrical and Electronics Engineers, 21 (1976), 449–455.
Cohen, F. R. Lada, T. J. & May, J. P.,The homology of iterated loop spaces. Springer Lecture Notes in Mathematics, 533 (1976).
Dold, A., Decomposition theorems forS(n)-complexes.Ann. of Math., 75 (1962), 8–16.
Dold, A. &Thom, R. Quasifaserungen und unendliche symmetrische Produkte.Ann. of Math., 67 (1958), 239–281.
Eells, J. &Wood J. C., Restrictions on harmonic maps of surfaces.Topology, 15 (1976), 263–266.
Hilton, P. &Roitberg, J., On the Zeeman comparison theorem for the homology of quasi-nilpotent fibrations.Quarterly J. Math. 27 (1976), 433–444.
James, I. M. &Segal, G. B., On equivariant homotopy type.Topology, 17 (1978), 267–272.
Mattuck, A., Picard bundlesIllinois J. Math., 5 (1961), 550–564.
May, J. P.,The geometry of iterated loop spaces. Springer Lecture Notes in Mathematics, 271 (1972).
McDuff, D., Configuration spaces of positive and negative particles.Topology, 14 (1975), 91–107.
McDuff, D. &Segal, G. B., Homology fibrations and the “group completion” theorem.Inventiones Math., 31 (1976), 279–284.
Nakaoka, M., Cohomology of symmetric products.J. Inst. Polytech., Osaka City Univ., 7 (1956), 121–144.
Rosenlicht, M., Generalized Jacobian varieities.Ann. of Math., 59 (1954), 505–530.
Segal, G. B., Configuration spaces and iterated loop spaces.Inventiones Math., 21 (1973), 213–221.
—, Classifying spaces and spectral sequences.Publ. Math. I.H.E.S. Paris, 34 (1968), 105–112.
—, Classifying spaces related to foliations.Topology, 17 (1978), 367–382.
Serre, J. P.,Groupes algébriques et corps de classes. Hermann, Paris, 1959.
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Segal, G. The topology of spaces of rational functions. Acta Math. 143, 39–72 (1979). https://doi.org/10.1007/BF02392088
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DOI: https://doi.org/10.1007/BF02392088