@book{201e0b93ee7949bf81c48922116020c2,

title = "Geometry in a Frechet Context: A Projective Limit Approach",

abstract = "Many geometrical features of manifolds and fibre bundles modelled on Fr{\'e}chet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Fr{\'e}chet 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 Fr{\'e}chet space, and the non-existence of an exponential map in a Fr{\'e}chet–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.",

author = "Christopher Dodson and GA Galanis and E Vassiliou",

year = "2015",

month = dec,

day = "19",

language = "English",

isbn = "9781316601952",

series = "London Mathematical Society Lecture Note Series",

publisher = "Cambridge University Press",

address = "United Kingdom",

}