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Book Review
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Book Information
Author(s):
I. Moerdijk and J. Mrcun
Title:
Introduction to foliations and Lie groupoids
Additional book information:
Cambridge University Press,
Cambridge, UK,
2003,
x+173,
£30.00,
0-521-83197-0
References:
-
- 1.
- R. Almeida and P. Molino, Suites d'Atiyah et feuilletages transversalement complets, C. R. Acad. Sci. Paris 300 (1985), 13-15. MR 0778785 (86i:57029)
- 2.
- A. Connes, Sur la théorie non commutative de l'intégration, Algèbres d'opérateurs (Sém., Les Plans-sur-Bex, 1978), Springer-Verlag, Berlin, 1979, pp. 19-143. MR 0548112 (81g:46090)
- 3.
- -, Noncommutative Geometry, Academic Press Inc., San Diego, CA, 1994. MR 1303779 (95j:46063)
- 4.
- C. Ehresmann, Structures Feuilletées, Proc. 5th Canadian Math. Congress, Univ. of Toronto Press 1963, 1961, pp. 109-172.
- 5.
- E. Fedida, Feulletages du plan, feuilletages de Lie, Thesis, Strasbourg (1983).
- 6.
- A. Haefliger, Variétés feuilletées, Ann. Scuola Norm. Sup. Pisa 16 (1962), 367-397. MR 0189060 (32:6487)
- 7.
- -, Feuilletages sur les variétés ouvertes, Topology 9 (1970), 183-194. MR 0263104 (41:7709)
- 8.
- P. Molino, Etude des feuilletages transversalement complets et applications, Ann. Scient. Ec. Norm. Sup. 10 (1977), 289-307. MR 0458446 (56:16649)
- 9.
- -, Riemannian Foliations, Birkhaüser, Boston, Massachusetts, 1988, Translated from the French by G. Cairns, with appendices by Cairns, Y. Carrière, É. Ghys, E. Salem and V. Sergiescu. MR 0932463 (89b:53054)
- 10.
- I. Moerdijk and J. Mrcun, Introduction to Foliations and Lie Groupoids, Cambridge University Press, Cambridge, UK, 2003. MR 2012261
- 11.
- J. Mrcun, An extension of the Reeb stability theorem, Top. and Appl 70 (1996), 25-55. MR 1387824 (97j:57035)
- 12.
- S. P. Novikov, Topology of foliations, Trans. Moscow Math. Soc. 14 (1965), 268-304. MR 0200938 (34:824)
- 13.
- V. Poénaru, Homotopy theory and differentiable singularities, Lecture Notes in Math., 197, Springer-Verlag, Berlin, 1971, pp. 106-132. MR 0285026 (44:2250)
- 14.
- J. Pradines, Théorie de Lie pour les groupoïdes différentiables, calcul différentiel dans la catégorie des groupoïdes infinitésimaux, C. R. Acad. Sci. Paris 264 (1967), 245-248. MR 0216409 (35:7242)
- 15.
- G. Reeb, Sur Certaines Propriétés Topologiques des Variétés Feuilletées, Hermann, Paris, 1952. MR 0055692 (14:1113a)
- 16.
- B. Reinhart, Foliated manifolds with bundle-like metrics, Ann. Math. 69 (1959), 119-132. MR 0107279 (21:6004)
- 17.
- V. V. Solodov, Components of topological foliations, Mat. Sb (N.S.) 119(161) (1982), 340-354, Russian. MR 0678831 (85b:57033)
- 18.
- W. Thurston, A generalization of the Reeb stability theorem, Topology 13 (1974), 347-352. MR 0356087 (50:8558)
- 19.
- -, The theory of foliations in codimension greater than one, Comment. Math. Helv. 49 (1974), 214-231. MR 0370619 (51:6846)
- 20.
- -, Existence of codimension-one foliations, Ann. of Math. (2) 104 (1976), 249-268. MR 0425985 (54:13934)
- 21.
- H. E. Winkelnkemper, The graph of a foliation, Ann. Global Anal. Geom. 1 (1983), no. 3, 51-75. MR 0739904 (85j:57043)
- 22.
- -, The number of ends of the universal leaf of a Riemannian foliation, Differential geometry (College Park, Md., 1981/1982), Birkhäuser Boston, Mass., 1983, pp. 247-254. MR 0702537 (84i:57019)
Additional Information:
Reviewer(s):
Lawrence
Conlon
Affiliation:
Washington University in St. Louis
Email:
lc@math.wustl.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
42
(2005),
105-111.
MSC
(2000):
Primary 57R30, 22A22, 58H05
DOI:
10.1090/S0273-0979-04-01036-5
PII:
S 0273-0979(04)01036-5
Posted:
October 5, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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