LNC points for m-convex sets
Let S be closed, m-convex subset of Rd, S locally a full d-dimensional, with Q the corresponding set of lnc points of S. If q is an essential lnc point of order k then for some neighborhood U of q, Q⋂U is expressible as a union of k or fewer (d−2)-dimensional manifolds, each containing q For S compa...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1981-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171281000379 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551323374977024 |
|---|---|
| author | Marilyn Breen |
| author_facet | Marilyn Breen |
| author_sort | Marilyn Breen |
| collection | DOAJ |
| description | Let S be closed, m-convex subset of Rd, S locally a full d-dimensional, with Q the corresponding set of lnc points of S. If q is an essential lnc point of order k then for some neighborhood U of q, Q⋂U is expressible as a union of k or fewer (d−2)-dimensional manifolds, each containing q For S compact, if to every q∈Q there corresponds a k>0 such that q is an essential lnc point of order k then Q may be written as a finite union of (d−2)-manifolds. |
| format | Article |
| id | doaj-art-71e8fe9a363447ec89cc629e6531a6fb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1981-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-71e8fe9a363447ec89cc629e6531a6fb2025-02-03T06:01:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014351352810.1155/S0161171281000379LNC points for m-convex setsMarilyn Breen0Department of Mathematics, The University of Oklahoma, Norman 73019, Oklahoma, USALet S be closed, m-convex subset of Rd, S locally a full d-dimensional, with Q the corresponding set of lnc points of S. If q is an essential lnc point of order k then for some neighborhood U of q, Q⋂U is expressible as a union of k or fewer (d−2)-dimensional manifolds, each containing q For S compact, if to every q∈Q there corresponds a k>0 such that q is an essential lnc point of order k then Q may be written as a finite union of (d−2)-manifolds.http://dx.doi.org/10.1155/S0161171281000379points of nonconvexitym-convex sets. |
| spellingShingle | Marilyn Breen LNC points for m-convex sets International Journal of Mathematics and Mathematical Sciences points of nonconvexity m-convex sets. |
| title | LNC points for m-convex sets |
| title_full | LNC points for m-convex sets |
| title_fullStr | LNC points for m-convex sets |
| title_full_unstemmed | LNC points for m-convex sets |
| title_short | LNC points for m-convex sets |
| title_sort | lnc points for m convex sets |
| topic | points of nonconvexity m-convex sets. |
| url | http://dx.doi.org/10.1155/S0161171281000379 |
| work_keys_str_mv | AT marilynbreen lncpointsformconvexsets |