Author : Eugene Fink
Publisher : Springer Science & Business Media
ISBN 13 : 3642188494
Total Pages : 104 pages
Book Rating : 4.6/5 (421 download)
Book Synopsis Restricted-Orientation Convexity by : Eugene Fink
Download or read book Restricted-Orientation Convexity written by Eugene Fink and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. The authors explore the properties of this generalized convexity in multidimensional Euclidean space, and describ restricted-orientation analogs of lines, hyperplanes, flats, halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. They then introduce the notion of strong restricted-orientation convexity, which is an alternative generalization of convexity, and show that its properties are also similar to that of standard convexity.