@inbook{cb9fd4f9fae9444baff9fcd290e5d9aa,

title = "Diffeomorphisms and Embeddings of Manifolds",

abstract = "This chapter contains foundational material on spaces of diffeomorphisms and embeddings. Such spaces are known to be Fr{\'e}chet manifolds, separable when the manifolds involved are compact. Versions of these and related facts are developed for manifolds with boundary, as well as in the context of fiber-preserving diffeomorphisms and maps. The latter utilizes a modification of the exponential map, called the aligned exponential, adapted to the fibered structure.",

keywords = "Homotopy Type, Horizontal Lift, Horizontal Part, Local Chart, Vector Field",

author = "Sungbok Hong and John Kalliongis and Darryl McCullough and Rubinstein, {J. Hyam}",

year = "2012",

month = jan,

day = "1",

doi = "10.1007/978-3-642-31564-0_2",

language = "English",

isbn = "9783642315633",

series = "Lecture Notes in Mathematics",

publisher = "Springer Verlag",

pages = "9--17",

booktitle = "Diffeomorphisms of Elliptic 3-Manifolds",

}