000			02314nam a22003738i 4500
001			CR9781316556092
003			UkCbUP
005			20200124160213.0
006			m|||||o||d||||||||
007			cr cn|||||||||
008			151112s2016||||enk o ||1 0|eng|d
020			_a9781316556092 (ebook)
020			_z9781316601952 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA322 _b.D63 2016
082	0	0	_a515/.732 _223
100	1		_aDodson, C. T. J., _eauthor.
245	1	0	_aGeometry in a Fréchet contex : _ba projective limit approach / _cC.T.J. Dodson, University of Manchester, George Galanis, Hellenic Naval Academy, Piraeus, Greece, Efstathios Vassiliou, University of Athens, Greece.
264		1	_aCambridge : _bCambridge University Press, _c2016.
300			_a1 online resource (xii, 302 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v428
520			_aMany geometrical features of manifolds and fibre bundles modelled on Fréchet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Fréchet spaces; for example, the lack of a general solvability theory for differential equations, the non-existence of a reasonable Lie group structure on the general linear group of a Fréchet space, and the non-existence of an exponential map in a Fréchet-Lie group. In this book, the authors describe in detail a new approach that overcomes many of these limitations by using projective limits of geometrical objects modelled on Banach spaces. It will appeal to researchers and graduate students from a variety of backgrounds with an interest in infinite-dimensional geometry. The book concludes with an appendix outlining potential applications and motivating future research.
650		0	_aFréchet spaces.
650		0	_aBanach spaces.
650		0	_aGeometry, Differential.
700	1		_aGalanis, George _q(George N.), _eauthor.
700	1		_aVassiliou, E. _q(Efstathios), _eauthor.
776	0	8	_iPrint version: _z9781316601952
830		0	_aLondon Mathematical Society lecture note series ; _v428.
856	4	0	_uhttps://doi.org/10.1017/CBO9781316556092
999			_c515973 _d515971