Restricted-Orientation Convexity
by Eugene Fink
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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. We explore the properties of this generalized convexity in multidimensional Euclidean space, describes restricted-orientation analogs of lines, hyperplanes, flats, and halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. We 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 those of standard convexity.
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Restricted-Orientation Convexity
2004, Springer Berlin Heidelberg
electronic resource /
in English
3642623239 9783642623233
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- Created July 6, 2019
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| December 25, 2021 | Edited by ImportBot | import existing book |
| December 25, 2021 | Edited by ImportBot | import existing book |
| July 6, 2019 | Created by MARC Bot | Imported from Internet Archive item record |