Beyond Topologies, Part I

Details Beyond Topologies, Part I Beyond Topologies, Part I

2010-01-12

arxiv.org/abs/1001.1866v1

Mathematics

General Mathematics

Scientific paper

Arguments on the need, and usefulness, of going beyond the usual Hausdorff-Kuratowski-Bourbaki, or in short, HKB concept of topology are presented. The motivation comes, among others, from well known {\it topological type processes}, or in short TTP-s, in the theories of Measure, Integration and Ordered Spaces. These TTP-s, as shown by the classical characterization given by the {\it four Moore-Smith conditions}, can {\it no longer} be incorporated within the usual HKB topologies. One of the most successful recent ways to go beyond HKB topologies is that developed in Beattie & Butzmann. It is shown in this work how that extended concept of topology is a {\it particular} case of the earlier one suggested and used by the first author in the study of generalized solutions of large classes of nonlinear partial differential equations.

Affiliated with

Also associated with

No associations

Rating

Beyond Topologies, Part I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Beyond Topologies, Part I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Beyond Topologies, Part I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459231