Restricted-Orientation Convexity
Eugene Fink, Derick Wood
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.
Rok:
2012
Wydawnictwo:
Springer
Język:
english
Strony:
104
ISBN 10:
3642623239
ISBN 13:
9783642623233
Plik:
PDF, 1.20 MB
IPFS:
,
english, 2012
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