The structure of the b-completion of space-time

Details The structure of the b-completion of space-time The structure of the b-completion of space-time

Aug 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gregr..26..797h&link_type=abstract

General Relativity and Gravitation, Volume 26, Issue 8, pp.797-811

Mathematics

Logic

8

Scientific paper

Structured space, as a natural generalization of the manifold concept, is defined to be a topological space with a sheaf of real function algebras which are suitably localized and closed with respect to composition with smooth Euclidean functions. Vector fields, differential forms, linear connection and curvature are introduced on structured spaces. It is shown that structured spaces correctly model space-times with singularities. Schmidt's b-boundary of space-time is constructed in the category of structured spaces, and well known difficulties with the b-boundaries of the closed Friedman and Schwarzschild space-times are disentangled. It is argued that the b-boundary of space-time, when considered in the category of structured spaces, can serve as a good definition of classical singularities.

Affiliated with

Also associated with

No associations

Rating

The structure of the b-completion of space-time 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 The structure of the b-completion of space-time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The structure of the b-completion of space-time will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1496343