Recent progress in special Colombeau algebras: geometry, topology, and algebra
Volume 88 / 2010
Banach Center Publications 88 (2010), 175-184
MSC: Primary 46F30; Secondary 46T30, 46A20, 16D25, 53B20.
DOI: 10.4064/bc88-0-14
Abstract
Over the past few years there has been considerable progress in the structural understanding of special Colombeau algebras. We present some of the main trends in this development: non-smooth differential geometry, locally convex theory of modules over the ring of generalized numbers, and algebraic aspects of Colombeau theory. Some open problems are given and directions of further research are outlined.
