A Non-Trivial (R,+) 
Principal Bundle Over...
May 1, 2025
 
We present an explicit example of an(R,+)non-trivial principal bundleπ: Wα→Dα within the framework of diffeology, where both the fiber and the base space Dα are smoothly contractible. This stands in stark contrast to classical bundle theory over manifolds, where fiber bundles over a contractible base are always trivial, as well as principal fiber bundles with contractible fiber.
Submitted for publication.http://math.huji.ac.il/~piz/documents/ANTRB.pdfshapeimage_3_link_0