000 02369nam a22003858i 4500
001 CR9780511615450
003 UkCbUP
005 20200124160221.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090914s2003||||enk o ||1 0|eng|d
020 _a9780511615450 (ebook)
020 _z9780521831970 (hardback)
020 _z9780521539609 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA613.62
_b.M64 2003
082 0 0 _a514/.72
_221
100 1 _aMoerdijk, Ieke,
_eauthor.
245 1 0 _aIntroduction to foliations and Lie groupoids /
_cI. Moerdijk and J. Mrc̆un.
246 3 _aIntroduction to Foliations & Lie Groupoids
264 1 _aCambridge :
_bCambridge University Press,
_c2003.
300 _a1 online resource (ix, 173 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v91
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.
650 0 _aFoliations (Mathematics)
650 0 _aLie groupoids.
700 1 _aMrc̆un, J.,
_d1966-
_eauthor.
776 0 8 _iPrint version:
_z9780521831970
830 0 _aCambridge studies in advanced mathematics ;
_v91.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511615450
999 _c516733
_d516731