Chapter III. Diffeological Vector Spaces
June 1, 2005 — Update May 12, 2009
 
The third chapter of the book is an introduction to diffeological vectors spaces. We don’t enter very much in the details of this theory (which is still to come). This chapter is only included in the book because diffeological vector spaces are used in the definition of diffeological manifolds (chapter IV), which is a generalization of the usual finite dimensional manifolds. However, we pay a special attention to the fine diffeology of vector spaces. Each paragraph comes along with exercises, with solutions. Any comments ?57D13711-A0FC-426F-8FC0-4FDC8FA1C383.htmlmailto:piz@math.huji.ac.il?subject=Diffeology%20book%20-%20Diffeological%20Vector%20Spacesshapeimage_2_link_0shapeimage_2_link_1