Restricted-Orientation Convexity
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Author
Contributions
- Wood, Derick - Contributor
Publication
2004 - Springer Berlin Heidelberg, Berlin, Heidelberg, Germany
Language
English
Word Count
25,500 words, Guess
Page Count
102 pages
Physical Format
Electronic resource
Identifiers
- Internet Archiverestrictedorient00fink
- ISBN-103642623239
- ISBN-103642188494
- ISBN-139783642623233
- ISBN-139783642188497
and 4 more
- OCLC Control Number851823687
- Better World Books9783642623233
- Better World Books9783642188497
- Open LibraryOL27085497M
Classifications
- DDC004.0151
- LCCQA75.5-76.95
Description
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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