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Lower Bounds for Dimensions of

✍ Scribed by Daniel M. Oberlin

Book ID
107627531
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
315 KB
Volume
20
Category
Article
ISSN
1050-6926

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πŸ“œ SIMILAR VOLUMES

A Lower Bound for Families of Natarajan
A Lower Bound for Families of Natarajan Dimension d
✍ Paul Fischer; Jiřı́ MatouΕ‘ek πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 98 KB

A system F of functions [1, 2, ..., n] Γ„ [1, 2, ..., k] has Natarajan dimension at most d if no (d+1)-element subset A/X is 2-shattered. A is 2-shattered if for each x # A there is a 2-element set V x [1, 2, ..., k] such that for any choice of elements c x # V x , a function f # F exists with f (x)=

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✍ Markus Walgenbach πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 165 KB

The object of the present work is to express characteristic numbers of a homogeneous space G/U which are related to the immersion dimension of G/U by Lie group invariants of G and U . New concrete nonimmersion theorems for flag manifolds and other homogeneous spaces are proved.