Lower Bounds for Local Versions of Dimension Reductions
β Scribed by Gideon Schechtman; Adi Shraibman
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 299 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0179-5376
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π SIMILAR VOLUMES
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.
Most engineering problems are solved by means of numerical methods that are able to provide only approximate solutions, for which it would be extremely useful to have efficient error estimators. Upper and lower bounds for quantities of integral character, like the stored magnetic energy or the ohmi
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)=