An extension of the Eilenberg - Mac Lane concept of category in the case of nonrigid structures
| dc.creator | Rosinger, Elemer E | |
| dc.date | 2006-04-06 | |
| dc.date.accessioned | 2026-07-07T07:10:36Z | |
| dc.date.available | 2026-07-07T07:10:36Z | |
| dc.description | Nonrigid mathematical structures may no longer form usual Eilenberg - Mac Lane categories, but more general ones, as illustrated by pseudo-topologies. A rather general concept of pseudo-topology was used in constructing differential algebras of generalized functions containing the Schwartz distributions, [4-6,8-11]. These algebras proved to be convenient in solving large classes of nonlinear partial differential equations, see [12,13] and the literature cited there, as well as section 46F30 in the Subject Classification 2000 of the American Mathematical Society, at www.ams.org/index/msc/46Fxx.html The totality of such pseudo-topologies no longer constitutes a usual Eilenberg - Mac Lane category, but an extended one which is presented here. Other nonrigid mathematical structures are mentioned and treated briefly. This is a revised and augmented version of the earlier published paper [7]. | |
| dc.identifier | https://arxiv.org/abs/math/0604138 | |
| dc.identifier | http://arxiv.org/abs/math/0604138 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111470 | |
| dc.subject | General Mathematics | |
| dc.subject | Category Theory | |
| dc.title | An extension of the Eilenberg - Mac Lane concept of category in the case of nonrigid structures | |
| dc.type | text |