 
                                                                                | Article ID: | iaor2007389 | 
| Country: | Belarus | 
| Volume: | 1 | 
| Start Page Number: | 48 | 
| End Page Number: | 52 | 
| Publication Date: | Mar 2006 | 
| Journal: | Mathematical Sciences | 
| Authors: | Naidenko N.M. | 
A generalized convexity (OC-convexity) consisting of the intersections of conic semispaces of directional convexity is investigated. Topological properties of OC-convexity are established. Halfspaces of OC-convexity are described, and conditions on separability of OC-convex sets are shown.