Recent progress in special Colombeau algebras: geometry, topology, and algebra

M. Kunzinger

Banach Center Publications (2010)

  • Volume: 88, Issue: 1, page 175-184
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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M. Kunzinger. "Recent progress in special Colombeau algebras: geometry, topology, and algebra." Banach Center Publications 88.1 (2010): 175-184. <http://eudml.org/doc/281757>.

@article{M2010,
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.},
author = {M. Kunzinger},
journal = {Banach Center Publications},
keywords = {Colombeau algebras; non-smooth differential geometry},
language = {eng},
number = {1},
pages = {175-184},
title = {Recent progress in special Colombeau algebras: geometry, topology, and algebra},
url = {http://eudml.org/doc/281757},
volume = {88},
year = {2010},
}

TY - JOUR
AU - M. Kunzinger
TI - Recent progress in special Colombeau algebras: geometry, topology, and algebra
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 175
EP - 184
AB - 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.
LA - eng
KW - Colombeau algebras; non-smooth differential geometry
UR - http://eudml.org/doc/281757
ER -

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