Restricted-Orientation Convexity (Monographs in Theoretical Computer Science. An EATCS Series) - Softcover

Fink, Eugene; Wood, Derick

Softcover

ISBN 10: 3642623239 ISBN 13: 9783642623233

Verlag: Springer, 2012

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Críticas

From the reviews:

"The well-organized, readable, interesting volume considers two generalizations of the concept of convexity in Rn, and their usual related concepts (hull, visibility, kernel, etc.). ... The volume would be very good for a seminar studying the many results from the last two decades on these forms of generalized convexity. The book closes with suggestions and conjectures for the direction of future research." (John R. Reay, Mathematical Reviews, Issue 2007 j)

Reseña del editor

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.

Über diese Auflage

• Verlag: Springer
• Erscheinungsdatum: 2012
• ISBN 10: 3642623239
• ISBN 13: 9783642623233
• Einband: Tapa blanda
• Anzahl der Seiten: 116