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| Content Provider | Springer Nature Link |
|---|---|
| Author | El Atrash, Mohammed Shult, Ernest |
| Copyright Year | 1998 |
| Abstract | A broad class of strong parapolar spaces is characterized by the properties of having all symplecta of rank at least 3, having finite singular rank, and possessing a geometric property (WH) concerning 6-circuits which are embedded in Γ so as to contain a distance-3 pair of antipodal points. The geometries in question belong to a class F of strong parapolar spaces which entered the scene as a class for which the existence of Veldkamp lines could be proved. The paper attempts to transcend the characterization theorem, by giving a natural context in which one might expect to encounter the basic hypothesis of the Cohen–Cooperstein characterization theorem – namely a gap in the spectrum of projective ranks of subspaces x ⊥ ∩ S, where x is a point not in the symplecton S. The theorem of the previous paragraph is then seen simply as an application of the principles advanced in this one. |
| Starting Page | 221 |
| Ending Page | 235 |
| Page Count | 15 |
| File Format | |
| ISSN | 00465755 |
| Journal | Geometriae Dedicata |
| Volume Number | 71 |
| Issue Number | 3 |
| e-ISSN | 15729168 |
| Language | English |
| Publisher | Kluwer Academic Publishers |
| Publisher Date | 1998-01-01 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Geometry |
| Content Type | Text |
| Resource Type | Article |
| Subject | Geometry and Topology |
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