polarity (original) (raw)
Definition 1.
Remark 3.
A polarity/duality necessarily interchanges points with hyperplanes. In this context points are called “poles” and hyperplanes “polars.”
An alternative definition of a duality is a projectivity
(order-preserving map) f:PG(V)→PG(V*).
| Title | polarity |
|---|---|
| Canonical name | Polarity |
| Date of creation | 2013-03-22 15:57:58 |
| Last modified on | 2013-03-22 15:57:58 |
| Owner | Algeboy (12884) |
| Last modified by | Algeboy (12884) |
| Numerical id | 12 |
| Author | Algeboy (12884) |
| Entry type | Definition |
| Classification | msc 51A10 |
| Classification | msc 51A05 |
| Synonym | order reversing |
| Related topic | SesquilinearFormsOverGeneralFields |
| Related topic | PolaritiesAndForms |
| Defines | polarity |
| Defines | duality |
| Defines | correlation |
| Defines | pole |
| Defines | polar |