Restricted-Orientation Convexity

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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. 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 ...

Restricted-Orientation Convexity 2012, Springer

ISBN-13: 9783642623233

Softcover Reprint of the Origi edition

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Restricted-Orientation Convexity 2003, Springer, Berlin, Germany

ISBN-13: 9783540668152

2004 edition

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