Project Euclid

References

• [And] Andreotti, A., On a theorem of Torelli, Amer. J. Math., 80 (1958), 801–828.
  Zentralblatt MATH: 0084.17304
  Mathematical Reviews (MathSciNet): MR102518
  Digital Object Identifier: doi:10.2307/2372835
  
• [Ar] Artin, E., Theory of braids. Ann. of Math., 48 (1947), 47–72.
• [AJ] Atiyah, M. F. & Jones, J. D., Topological aspects of Yang-Mills theory, Comm. Math. Phys., 61 (1978), 97–118.
  Zentralblatt MATH: 0387.55009
  Mathematical Reviews (MathSciNet): MR503187
  Digital Object Identifier: doi:10.1007/BF01609489
  
• [Bi] Birman, J. S., Braids, links and mapping class groups. Ann. of Math. Stud., 82 (1974), Princeton Univ. Press.
• [Böd] Bödigheimer, C.-F., Gefärbte Konfigurationen: Modelle für die stabile Homotopie von Eilenberg-MacLane-Räumen. Dissertation, University of Heidelberg, 1984.
• [BCT] Bödigheimer, C.-F., Cohen, F. R. & Taylor, L., On the homology of configuration spaces. To appear in Topology.
• [BCM] Bödigheimer, C.-F., Cohen, F. R. & Milgram, R. J., On the spaces TPⁿ(Y). To appear.
• [B] Bogomol'nyi, E. B., The stability of classical solutions. Soviet J. Nuclear Phys., 24 (1976), 449.
  Mathematical Reviews (MathSciNet): MR443719
  
• [BV] Boardman, J. M. & Vogt, R. M., Homotopy-everythingH-spaces. Bull. Amer. Math. Soc., 74 (1968), 1117–1122.
  Zentralblatt MATH: 0165.26204
  Mathematical Reviews (MathSciNet): MR236922
  Digital Object Identifier: doi:10.1090/S0002-9904-1968-12070-1
  
• [BoMa] Boyer, C. P. & Mann, B. M., Monopoles, non-linear γ models, and two-fold loop spaces. Comm. Math. Phys., 115 (1988), 571–594
  Zentralblatt MATH: 0656.58049
  Mathematical Reviews (MathSciNet): MR933456
  Digital Object Identifier: doi:10.1007/BF01224128
  
• [Br1] Brockett, R. W., Some geometric questions in the theory of linear systems. IEEE Trans. Automat. Control, 21 (1976), 449–455.
  Zentralblatt MATH: 0332.93040
  Mathematical Reviews (MathSciNet): MR469386
  Digital Object Identifier: doi:10.1109/TAC.1976.1101301
  
• [Br2]-—, The geometry of the set of controllable linear systems. Res. Rep. Autom. Control Lab. Nagoya Univ., 24 (1977), 1–7.
  Mathematical Reviews (MathSciNet): MR484621
  
• [BG] Brown, E. H. & Gitler, S., A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra. Topology, 12 (1973), 283–296.
  Zentralblatt MATH: 0266.55012
  Mathematical Reviews (MathSciNet): MR391071
  Digital Object Identifier: doi:10.1016/0040-9383(73)90014-1
  
• [BP1] Brown, E. H. & Peterson, F. P., On the stable decomposition of Ω²S^r+2. Trans. Amer. Math. Soc., 243 (1978), 287–298.
  Zentralblatt MATH: 0404.55003
  Mathematical Reviews (MathSciNet): MR500933
  Digital Object Identifier: doi:10.2307/1997768
  
• [BP2]—, Relations among characteristic classes II. Ann of Math., 81 (1965), 356–363.
  Zentralblatt MATH: 0137.42801
  Mathematical Reviews (MathSciNet): MR176490
  Digital Object Identifier: doi:10.2307/1970620
  
• [BP3]— A universal space for normal bundles of n-manifolds. Comment. Math. Helv., 54 (1979), 405–430.
  Zentralblatt MATH: 0415.55011
  Mathematical Reviews (MathSciNet): MR543340
  
• [BD] Byrnes, C. I. & Duncan, T., On certain topological invariants arising in system theory. New Directions in Applied Math., Springer-Verlag, New York, 1981, pp. 29–71.
• [Car] Cartan, H., Algebres d'Eilenberg-MacLane et homotopie. Seminaire H. Cartan, Paris, 1954/55.
• [C] Cohen, F. R., The homology ofC_n+1 spaces. Lecture Notes in Mathematics, 533 (1976), 207–352, Springer-Verlag.
• [CMT] Cohen, F. R., Taylor, L. & May, J. P.. Splitting of certain spaces CX. Math. Proc. Cambridge Philos Soc., 84 (1978) 465–496.
  Zentralblatt MATH: 0408.55006
  Mathematical Reviews (MathSciNet): MR503007
  
• [CMM] Cohen, F. R., Mahowald, M. & Milgram, R. J.. The stable decomposition of the double loop space of a sphere. Algebraic and Geometric Topology, Proceedings of Symposia in Pure Mathematics, 32 (2) (1978), 225–228.
  Zentralblatt MATH: 0406.55007
  Mathematical Reviews (MathSciNet): MR520543
  
• [C²M²] Cohen, F. R., Cohen, R. L., Mann, B. M. & Milgram, R. J., Divisors and configurations on a surface. Algebraic Topology, Conf. Math., A.M.S., 96 (1989), 103–108.
  Zentralblatt MATH: 0686.55012
  Mathematical Reviews (MathSciNet): MR1022676
  
• [C²M²2] Cohen, F. R., Cohen, R. L., Mann, B. M. & Milgram, R. J., The homotopy type of rational functions. To appear in Math. Z.
• [Co] Cohen, R. L., Odd primary infinite families in stable homotopy theory. Mem. Amer. Math. Soc., 242 (1981).
• [C2]—, The immersion conjecture for differentiable manifolds. Ann. of Math., 122 (1985), 237–328.
  Zentralblatt MATH: 0592.57022
  Mathematical Reviews (MathSciNet): MR808220
  Digital Object Identifier: doi:10.2307/1971304
  
• [C3] Cohen, R. L., The homotopy theory of immersions. Proc. ICM Warsaw. 1983, 627–639.
• [Del] Delchamps, D. F., Global structures of families of multivariable systems with an application to identification. Math. Systems Theory, 18 (1985), 329–380.
  Mathematical Reviews (MathSciNet): MR818420
  Digital Object Identifier: doi:10.1007/BF01699476
  
• [DT] Dold, A. & Thom, R., Quasifaserungen und unendliche symmetrische Produkte. Ann. of Math., 67 (1958), 239–281.
  Zentralblatt MATH: 0091.37102
  Mathematical Reviews (MathSciNet): MR97062
  Digital Object Identifier: doi:10.2307/1970005
  
• [D] Donaldson, S. K., Nahm's equations and the classification of monopoles. Comm. Math. Phys., 96 (1984), 387–407.
  Zentralblatt MATH: 0603.58042
  Mathematical Reviews (MathSciNet): MR769355
  Digital Object Identifier: doi:10.1007/BF01214583
  
• [EW1] Eells, J. & Wood, J. C., Restrictions on harmonic maps of surfaces. Topology, 17 (1976), 263–266.
  Mathematical Reviews (MathSciNet): MR420708
  Digital Object Identifier: doi:10.1016/0040-9383(76)90042-2
  
• [EW2]-—, Harmonic maps from surfaces to complex projective spaces. Adv. in Math., 49 (1983), 217–263.
  Zentralblatt MATH: 0528.58007
  Mathematical Reviews (MathSciNet): MR716372
  Digital Object Identifier: doi:10.1016/0001-8708(83)90062-2
  
• [FaN] Fadell, E. & Neuwirth, L., Configuration spaces. Math. Scand., 10 (1962), 111–118.
  Zentralblatt MATH: 0136.44104
  Mathematical Reviews (MathSciNet): MR141126
  
• [FoN] Fox, R. H. & Neuwirth, L., The braid group. Math. Scand., 10 (1962), 119–126.
  Zentralblatt MATH: 0117.41101
  Mathematical Reviews (MathSciNet): MR150755
  
• [Fu] Fuks D. B., Cohomologies of the braid groups mod 2. Functional Anal. Appl., 4 (1970), 143–151.
  Zentralblatt MATH: 0222.57031
  Digital Object Identifier: doi:10.1007/BF01094491
  
• [Ga] Ganea, T., A generalization of the homology and homotopy suspension. Comment. math. Helv., 39 (1965), 295–322.
  Zentralblatt MATH: 0142.40702
  Mathematical Reviews (MathSciNet): MR179791
  
• [G] Guest, M., Topology of the space of absolute minima of the energy functional. Amer. J. Math., 106 (1984), 21–42.
  Zentralblatt MATH: 0564.58014
  Mathematical Reviews (MathSciNet): MR729753
  Digital Object Identifier: doi:10.2307/2374428
  
• [He1] Helmke, U., The topology of a moduli space for linear dynamical systems. Comment. Math. Helv., 60 (1985), 630–655.
  Zentralblatt MATH: 0613.93008
  Mathematical Reviews (MathSciNet): MR826876
  
• [He2]-—, Topology of the moduli space for reachable linear dynamical systems: the complex case. Math. Systems Theory, 19 (1986), 155–187.
  Zentralblatt MATH: 0624.93016
  Mathematical Reviews (MathSciNet): MR871414
  Digital Object Identifier: doi:10.1007/BF01704912
  
• [H1] Hitchin, N. J., Monopoles and geodesics. Comm. Math. Phys., 83 (1982), 579–602.
  Zentralblatt MATH: 0502.58017
  Mathematical Reviews (MathSciNet): MR649818
  Digital Object Identifier: doi:10.1007/BF01208717
  
• [H2]—, On the construction of monopoles. Comm. Math. Phys., 89 (1983), 145–190.
  Zentralblatt MATH: 0517.58014
  Mathematical Reviews (MathSciNet): MR709461
  Digital Object Identifier: doi:10.1007/BF01211826
  
• Herman, R. & Martin, C. F., Applications of algebraic geometry to systems theory: The McMillan degree and Kronecker indices of transfer functions as topological and holomorphic systems invariants. SIAM J. Control. Optim., 16 (1978), 743–755.
  Mathematical Reviews (MathSciNet): MR527294
  Digital Object Identifier: doi:10.1137/0316050
  
• Kailath, T., Linear Systems. Prentice-Hall, 1980.
• Kirwan, F. C., On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles. Ark. Mat., 24 (1986), 221–275.
  Zentralblatt MATH: 0625.14026
  Mathematical Reviews (MathSciNet): MR884188
  Digital Object Identifier: doi:10.1007/BF02384399
  
• Löffler, P. & Milgram, R. J., The structure of deleted symmetric products. Artin's Braid group and applications, A.M.S. Summer Institutes.
• Madsen, Ib & Milgram, R. J., On spherical fiber bundles and their PL reductions. New Developments in Topology, Cambridge University Press, 1974, 43–59.
• Mahowald, M., A new infinite family in₂π ${}_{*}^{5}$ . Topology, 16 (1977), 249–256.
  Zentralblatt MATH: 0357.55020
  Mathematical Reviews (MathSciNet): MR445498
  Digital Object Identifier: doi:10.1016/0040-9383(77)90005-2
  
• [MM] Mann, B. M. & Milgram, R. J., The topology of holomorphic maps from the Riemann sphere to complex Grassmann manifolds. To appear in J. Differential Geom.
• [May] May, J. P., The Geometry of Iterated Loop Spaces. Lecture Notes in Mathematics, 271. Springer-Verlag, 1972.
• [M] Milgram, R. J., The homology of symmetric products. Trans. Amer. Math. Soc., 138 (1969), 251–265.
  Zentralblatt MATH: 0177.51404
  Mathematical Reviews (MathSciNet): MR242149
  Digital Object Identifier: doi:10.2307/1994913
  
• [M2]—, Iterated loop spaces. Ann. of Math., 84 (1966), 386–403.
  Zentralblatt MATH: 0145.19901
  Mathematical Reviews (MathSciNet): MR206951
  Digital Object Identifier: doi:10.2307/1970453
  
• [Mil] Milnor, J., On spaces having the homotopy type of a CW-complex. Trans. Amer. Math. Soc., 90 (1959), 272–280.
  Mathematical Reviews (MathSciNet): MR100267
  Digital Object Identifier: doi:10.2307/1993204
  
• [N] Nahm, W., The algebraic geometry of multimonopoles. Lecture Notes in Physics, 180. Springer-Verlag, 1983, pp. 456–466.
• [Sc] Scott, G. P., Braid groups and the group of homeomorphisms of a surface. Math. Proc. Camb. Philos. Soc., 68 (1970), 605–617.
  Zentralblatt MATH: 0203.56302
  Digital Object Identifier: doi:10.1017/S0305004100076593
  
• [Seg] Segal, G., The topology of rational functions. Acta Math., 143 (1979), 39–72.
  Zentralblatt MATH: 0427.55006
  Mathematical Reviews (MathSciNet): MR533892
  Digital Object Identifier: doi:10.1007/BF02392088
  
• [Seg2]—, Configuration spaces and iterated loop spaces. Invent. Math., 21 (1973), 213–221.
  Zentralblatt MATH: 0267.55020
  Mathematical Reviews (MathSciNet): MR331377
  Digital Object Identifier: doi:10.1007/BF01390197
  
• [Sn] Snaith, V. P., A stable decomposition of ΩⁿΣⁿT. J. London Math. Soc (2), 7 (1974), 577–583.
  Zentralblatt MATH: 0275.55019
  Mathematical Reviews (MathSciNet): MR339155
  
• [T1] Taubes, C. H., The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on R³; Part I, Comm. Math. Phys., 86 (1982), 257–298; Part II, Comm. Math. Phys., 86 (1982), 299.
  Zentralblatt MATH: 0514.58016
  Mathematical Reviews (MathSciNet): MR676188
  Digital Object Identifier: doi:10.1007/BF01206014
  
• [T2]—, Monopoles and maps from S² to S²; the topology of the configuration space. Comm. Math. Phys., 95 (1984), 345–391.
  Zentralblatt MATH: 0594.58053
  Mathematical Reviews (MathSciNet): MR765274
  Digital Object Identifier: doi:10.1007/BF01212403
  
• [W] Woo, G., Pseudo-particle configurations in two-dimensional ferromagnets. J. Math. Phys., 18 (1977), 1264.
  Mathematical Reviews (MathSciNet): MR503251
  Digital Object Identifier: doi:10.1063/1.523400