Acta Mathematica
- Acta Math.
- Volume 143 (1979), 39-72.
The topology of spaces of rational functions
Full-text: Open access
Article information
Source
Acta Math., Volume 143 (1979), 39-72.
Dates
Received: 2 February 1979
First available in Project Euclid: 31 January 2017
Permanent link to this document
https://projecteuclid.org/euclid.acta/1485890033
Digital Object Identifier
doi:10.1007/BF02392088
Mathematical Reviews number (MathSciNet)
MR533892
Zentralblatt MATH identifier
0427.55006
Rights
1979 © Almqvist & Wiksell
Citation
Segal, Graeme. The topology of spaces of rational functions. Acta Math. 143 (1979), 39--72. doi:10.1007/BF02392088. https://projecteuclid.org/euclid.acta/1485890033
References
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- 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 for S(n)-complexes. Ann. of Math., 75 (1962), 8–16.Digital Object Identifier: doi:10.2307/1970415
Zentralblatt MATH: 0125.01201
Mathematical Reviews (MathSciNet): MR25 #569 - 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.Digital Object Identifier: doi:10.1016/0040-9383(76)90042-2
Mathematical Reviews (MathSciNet): MR54 #8720 - Hilton, P. & Roitberg, J., On the Zeeman comparison theorem for the homology of quasi-nilpotent fibrations. Quarterly J. Math. 27 (1976), 433–444.Mathematical Reviews (MathSciNet): MR55 #4153
- James, I. M. & Segal, G. B., On equivariant homotopy type. Topology, 17 (1978), 267–272.Digital Object Identifier: doi:10.1016/0040-9383(78)90030-7
Mathematical Reviews (MathSciNet): MR80k:55045 - Mattuck, A., Picard bundles Illinois 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.Digital Object Identifier: doi:10.1016/0040-9383(75)90038-5
Zentralblatt MATH: 0296.57001
Mathematical Reviews (MathSciNet): MR50 #11225 - 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.Mathematical Reviews (MathSciNet): MR19,972h
- Rosenlicht, M., Generalized Jacobian varieities. Ann. of Math., 59 (1954), 505–530.Digital Object Identifier: doi:10.2307/1969715
Zentralblatt MATH: 0058.37002
Mathematical Reviews (MathSciNet): MR15,823b - 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.Zentralblatt MATH: 0199.26404
- —, Classifying spaces related to foliations. Topology, 17 (1978), 367–382.Digital Object Identifier: doi:10.1016/0040-9383(78)90004-6
Zentralblatt MATH: 0398.57018
Mathematical Reviews (MathSciNet): MR80h:57036 - Serre, J. P., Groupes algébriques et corps de classes. Hermann, Paris, 1959.

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