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Dimension, Halfspaces, and the Density of Hard Sets

✍ Scribed by Ryan C. Harkins; John M. Hitchcock


Publisher
Springer
Year
2010
Tongue
English
Weight
497 KB
Volume
49
Category
Article
ISSN
1433-0490

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Connectivity properties of dimension lev
✍ Jack H. Lutz; Klaus Weihrauch πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 137 KB

## Abstract This paper initiates the study of sets in Euclidean spaces ℝ^__n__^ (__n__ β‰₯ 2) that are defined in terms of the dimensions of their elements. Specifically, given an interval __I__ βŠ† [0, __n__ ], we are interested in the connectivity properties of the set DIM^__I__^ , consisting of all