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Lower bounds for the immersion dimension of homogeneous spaces

✍ Scribed by Markus Walgenbach

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
165 KB
Volume
112
Category
Article
ISSN
0166-8641

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✦ Synopsis

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.

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)=