Infinite Dimensional Spaces and Cartesian Closedness

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2011
• Main Author: Giordano, P.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106684
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Infinite Dimensional Spaces and Cartesian Closedness / P. Giordano // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 3. — С. 225-284. — Бібліогр.: 89 назв. — англ.

Infinite dimensional spaces frequently appear in physics; there are several approaches to obtain a good categorical framework for this type of space, and cartesian closedness of some category, embedding smooth manifolds, is one of the most requested condition. In the first part of the paper, we star...