On topological Tits buildings and their classification

Keith Burns; Ralf Spatzier

Publications Mathématiques de l'IHÉS (1987)

  • Volume: 65, page 5-34
  • ISSN: 0073-8301

How to cite


Burns, Keith, and Spatzier, Ralf. "On topological Tits buildings and their classification." Publications Mathématiques de l'IHÉS 65 (1987): 5-34. <http://eudml.org/doc/104021>.

author = {Burns, Keith, Spatzier, Ralf},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {topological Tits building; Moufang property; semisimple Lie group; Moufang building; nonpositive sectional curvature; symmetric space},
language = {eng},
pages = {5-34},
publisher = {Institut des Hautes Études Scientifiques},
title = {On topological Tits buildings and their classification},
url = {http://eudml.org/doc/104021},
volume = {65},
year = {1987},

AU - Burns, Keith
AU - Spatzier, Ralf
TI - On topological Tits buildings and their classification
JO - Publications Mathématiques de l'IHÉS
PY - 1987
PB - Institut des Hautes Études Scientifiques
VL - 65
SP - 5
EP - 34
LA - eng
KW - topological Tits building; Moufang property; semisimple Lie group; Moufang building; nonpositive sectional curvature; symmetric space
UR - http://eudml.org/doc/104021
ER -


  1. [B] W. BALLMANN, Nonpositively curved manifolds of higher rank, Ann. of Math., 122 (1985), 597-609. Zbl0585.53031MR87e:53059
  2. [BBS] W. BALLMANN, M. BRIN and R. SPATZIER, Structure of manifolds of nonpositive curvature, II, Ann. of Math., 122 (1985), 205-235. Zbl0598.53046MR87c:58092b
  3. [BGS] W. BALLMANN, M. GROMOV and V. SCHROEDER, Manifolds of Nonpositive Curvature, Progress in Mathematics, 61 (1985), Boston, Birkhäuser. Zbl0591.53001MR87h:53050
  4. [Bou] N. BOURBAKI, Éléments de mathématique. Livre III : Topologie générale, 3e éd., Paris, Hermann (1960). MR22 #4620
  5. [BS] K. BURNS and R. SPATZIER, Manifolds of nonpositive curvature and their buildings, Publ. Math. I.H.E.S., 65 (1987), 35-59. Zbl0643.53037MR88g:53050
  6. [F] H. FURSTENBERG, Rigidity and cocycles for ergodic actions of semi-simple Lie groups, Séminaire Bourbaki, 32e année, 1979-1980, n° 559, Springer Lecture Notes in Math., 842 (1981), 273-292. Zbl0471.22007
  7. [G] S. GLASNER, Proximal Flows, Springer Lecture Notes in Math., 517 (1976). Zbl0322.54017MR57 #13890
  8. [Gle] A. GLEASON, Groups without small subgroups, Ann. of Math., 56 (1952), 193-212. Zbl0049.30105MR14,135c
  9. [K] A. KOLMOGOROFF, Zur Begründung der projektiven Geometrie, Ann. of Math., 33 (1932), 175-176. Zbl0003.07803JFM58.0600.01
  10. [MT] R. MOODY and K. TEO, Tits' systems with crystallographic Weyl groups, J. Algebra, 21 (1972), 178-190. Zbl0232.20089MR47 #8705
  11. [Mu] S. MURAKAMI, On the automorphisms of a real semisimple Lie algebra, Journal Math. Soc. Japan, 4 (1952), 103-133. Zbl0047.03501MR14,531c
  12. [MZ] D. MONTGOMERY and L. ZIPPIN, Topological Transformation Groups, New York, Interscience Publishers Inc. (1955). Zbl0068.01904MR17,383b
  13. [Sa1] H. SALZMANN, Topological projective planes, Adv. in Math., 2 (1967), 1-60. Zbl0153.21601MR36 #3201
  14. [Sa2] H. SALZMANN, Homogene kompakte projektive Ebenen, Pacific J. Math., 60 (1975), 217-234. Zbl0323.50009MR53 #3878
  15. [T1] J. TITS, Buildings of Spherical Type and Finite BN-pairs, Springer Lecture Notes in Math., 386 (1970). Zbl0295.20047MR57 #9866
  16. [T2] J. TITS, Classification of buildings of spherical type and Moufang polygons : a survey, Coll. Intern. Teorie Combinatorie, Rome (1976), t. I, 229-246. Zbl0347.50005MR56 #3140
  17. [T3] J. TITS, Endliche Spiegelungsgruppen, die als Weylgruppen auftreten, Invent. Math., 43 (1977), 283-295. Zbl0399.20037MR57 #478
  18. [Ya] H. Yamabe, A generalization of a theorem of Gleason, Ann. of Math., 58 (1953), 351-365. Zbl0053.01602MR15,398d

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