On measures in fibre spaces

Anthony Karel Seda

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1980)

  • Volume: 21, Issue: 3, page 247-276
  • ISSN: 1245-530X

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Seda, Anthony Karel. "On measures in fibre spaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 21.3 (1980): 247-276. <http://eudml.org/doc/91231>.

@article{Seda1980,
author = {Seda, Anthony Karel},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {measures in fibre spaces; generalized transformtion groups; groupoid of operators; equivariant projection; foliation; transversal measures; Fubini theorem; invariant measure},
language = {eng},
number = {3},
pages = {247-276},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On measures in fibre spaces},
url = {http://eudml.org/doc/91231},
volume = {21},
year = {1980},
}

TY - JOUR
AU - Seda, Anthony Karel
TI - On measures in fibre spaces
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1980
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 21
IS - 3
SP - 247
EP - 276
LA - eng
KW - measures in fibre spaces; generalized transformtion groups; groupoid of operators; equivariant projection; foliation; transversal measures; Fubini theorem; invariant measure
UR - http://eudml.org/doc/91231
ER -

References

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  2. 2 Bourbaki, N., Eléments de Mathématiques, Intégration, Hermann, P aris1959. MR124722
  3. 3 Bourbaki, N., Idem, Topologie Générale, Hermann, Paris1960. 
  4. 4 Cartan, H., Espaces fibrés et homotopie, Sém. H. Cartan, Ec. Norm. Sup., 2e édition, Paris, 1956. 
  5. 5 Edwards, R., Millett, K. & Sullivan, D., Foliations with all leaves compact, Topology16 (1977), 13-32. Zbl0356.57022MR438353
  6. 6 Garnett, L., An ergodic theory for foliations, I. H. E. S. (Preprint). Zbl0524.58026
  7. 7 G Elbaum, B.R., Fibre bundle s and measure, Proc. A. M. S.21 (1969), 603. Zbl0176.53001
  8. 8 Gelbaum, B.R., Group algebra bundles, Problems in Analysis (papers dedicated to S. Bochner, 1969), 229-237, Princeton Univ. Press, 1970. Zbl0209.15103MR348499
  9. 9 Goetz, A., On measures in fibre bundles, Colloquium Math.7 (1959), 11- 18. Zbl0090.26703MR151576
  10. 10 Hirsch, M.& Thurston, W., Foliated bundles, invariant measures and flat manifolds, Ann. of Math.101 (1975), 369-390. Zbl0321.57015MR370615
  11. 11 Husemoller, D., Fibre bundles, Mc Graw Hill, 1966. Zbl0144.44804MR229247
  12. 12 Pepe, W.D., Measures on bundles and bundles of measures, Fund. Math.83 (1974), 165 - 185. Zbl0303.28010MR338885
  13. 13 Plante, J., Foliations with measure preserving holonomy, Ann. of Math.102 (1975), 327-361. Zbl0314.57018MR391125
  14. 14 Rohlin, V.A., On the fundamental ideas of measure theory, A. M. S. Transl. (1952), 107-150. 
  15. 15 Ruelle, D., Integral representation of measures associated with a foliation, Publications Math. I. H. E. S.48 (1978). Zbl0398.57013MR516915
  16. 16 Ruelle, D. & Sullivan, D., Currents, Flows and diffeomorphisms, Topology14 (1975), 319-327. Zbl0321.58019MR415679
  17. 17 Seda, A.K., A continuity property of Haar systems of measures, Ann. Soc. Sc. Bruxelles89-IV (1975), 429-433. Zbl0313.28018MR402741
  18. 18 Seda, A.K., An extension theorem for transformation groupoids, Proc. Royal Irish Acad.75A (1975), 255-262. Zbl0357.20037MR415644
  19. 19 Seda, A.K., Haar measure s for groupoid s, Idem76A (1976), 25 - 36. Zbl0329.43002MR427598
  20. 20 Seda, A.K., Transformation groupoids and bundles of Banach spaces, Cahiers Topo. et Géom. Diff.XIX- 2 (1978), 131-146. Zbl0391.46060MR528342
  21. 21 Seda, A.K., Quelques résultats dans la catégorie des groupoïdes d'opérateursC. R. A. S. Paris288, Série A (1979), 21-24. Zbl0411.43001MR522010
  22. 22 Seda, A.K. & Wickstead, A.W., On invariant measures for compact transformation groups, Ann. Soc. Sc. Bruxelles90 - IV (1976), 277-283. Zbl0345.28012MR425081
  23. 23 Steenrod, N.E., The topology of fibre bundles, Princeton Univ. Press1951. Zbl0054.07103MR39258

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