Self-maps of classifying spaces of compact simple Lie groups

Jackowski, Stefan; McClure, James E.; Oliver, Bob

doi:10.1090/S0273-0979-1990-15841-0

Self-maps of classifying spaces of compact simple Lie groups
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by Stefan Jackowski, James E. McClure and Bob Oliver PDF

Bull. Amer. Math. Soc. 22 (1990), 65-72

References

W. G. Dwyer and G. Mislin, On the homotopy type of the components of $\textrm {map}_*(BS^3, BS^3)$, Algebraic topology, Barcelona, 1986, Lecture Notes in Math., vol. 1298, Springer, Berlin, 1987, pp. 82–89. MR 928824, DOI 10.1007/BFb0083001
W. Dwyer and A. Zabrodsky, Maps between classifying spaces, Algebraic topology, Barcelona, 1986, Lecture Notes in Math., vol. 1298, Springer, Berlin, 1987, pp. 106–119. MR 928826, DOI 10.1007/BFb0083003
J. R. Hubbuck, Homotopy homomorphisms of Lie groups, New developments in topology (Proc. Sympos. Algebraic Topology, Oxford, 1972) London Math. Soc. Lecture Note Ser., No. 11, Cambridge Univ. Press, London, 1974, pp. 33–41. MR 0336746
J. R. Hubbuck, Mapping degrees for classifying spaces. I, Quart. J. Math. Oxford Ser. (2) 25 (1974), 113–133. MR 356050, DOI 10.1093/qmath/25.1.113
Kenshi Ishiguro, Unstable Adams operations on classifying spaces, Math. Proc. Cambridge Philos. Soc. 102 (1987), no. 1, 71–75. MR 886436, DOI 10.1017/S0305004100067050
Stefan Jackowski and James E. McClure, Homotopy approximations for classifying spaces of compact Lie groups, Algebraic topology (Arcata, CA, 1986) Lecture Notes in Math., vol. 1370, Springer, Berlin, 1989, pp. 221–234. MR 1000379, DOI 10.1007/BFb0085230
Guido Mislin, The homotopy classification of self-maps of infinite quaternionic projective space, Quart. J. Math. Oxford Ser. (2) 38 (1987), no. 150, 245–257. MR 891619, DOI 10.1093/qmath/38.2.245
Robert Oliver, Smooth compact Lie group actions on disks, Math. Z. 149 (1976), no. 1, 79–96. MR 423390, DOI 10.1007/BF01301634
Robert Oliver, A proof of the Conner conjecture, Ann. of Math. (2) 103 (1976), no. 3, 637–644. MR 415650, DOI 10.2307/1970955
Dennis Sullivan, Geometric topology. Part I, Massachusetts Institute of Technology, Cambridge, Mass., 1971. Localization, periodicity, and Galois symmetry; Revised version. MR 0494074
Clarence Wilkerson, Self-maps of classifying spaces, Localization in group theory and homotopy theory, and related topics (Sympos., Battelle Seattle Res. Center, Seattle, Wash., 1974) Lecture Notes in Math., Vol. 418, Springer, Berlin, 1974, pp. 150–157. MR 0383444
Stephen J. Willson, Equivariant homology theories on $G$-complexes, Trans. Amer. Math. Soc. 212 (1975), 155–171. MR 377859, DOI 10.1090/S0002-9947-1975-0377859-X
Zdzisław Wojtkowiak, On maps from $\textrm {ho}\varinjlim F$ to $\textbf {Z}$, Algebraic topology, Barcelona, 1986, Lecture Notes in Math., vol. 1298, Springer, Berlin, 1987, pp. 227–236. MR 928836, DOI 10.1007/BFb0083013
A. Zabrodsky, Maps between classifying spaces, Algebraic topology and algebraic $K$-theory (Princeton, N.J., 1983) Ann. of Math. Stud., vol. 113, Princeton Univ. Press, Princeton, NJ, 1987, pp. 228–246. MR 921480
J. Lannes, Sur la cohomologie modulo $p$ des $p$-groupes abéliens élémentaires, Homotopy theory (Durham, 1985) London Math. Soc. Lecture Note Ser., vol. 117, Cambridge Univ. Press, Cambridge, 1987, pp. 97–116 (French). MR 932261