Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895496 | Journal of Geometry and Physics | 2016 | 17 Pages |
Abstract
For simply connected manifolds M (among others) I describe the entirety of all such sets U which are, in addition, the complement of a C1 submanifold, boundary allowed, of M. This delivers a partial positive answer to a problem posed by Antonio J. Di Scala and Gianni Manno (2014). Furthermore, in case M is an open submanifold of Rn, nâ¥2, I prove that the complement of U in M, not required to be a submanifold now, can have arbitrarily large n-dimensional Lebesgue measure.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Tim Kirschner,