Abstract
We settle the simple connectivity of the geometry opposite a chamber in a polar space of rank 3 by completing the job for the non-embeddable polar spaces and some polar spaces with small parameters.
MSC: 51E24
Received: 2014-1-16
Revised: 2014-10-5
Published Online: 2015-4-15
Published in Print: 2016-5-1
© 2016 by De Gruyter
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Articles in the same Issue
- Frontmatter
- The elliptic trilogarithm and Mahler measures of K3 surfaces
- Morphisms determined by objects and flat covers
- Graev ultrametrics and free products of Polish groups
- Critical values of Rankin–Selberg L-functions for GLn × GLn-1 and the symmetric cube L-functions for GL2
- Simple connectivity in polar spaces
- On the μ-invariant of Katz p-adic L-functions attached to imaginary quadratic fields
- Non-existence of certain Einstein metrics on some symplectic manifolds
- A note on real algebraic groups
- Coercive and noncoercive nonlinear Neumann problems with indefinite potential
- No universal group in a cardinal
- Finite involution semigroups with infinite irredundant bases of identities
Keywords for this article
Non-embeddable polar space;
opposition;
covering degree;
simple connectivity
Articles in the same Issue
- Frontmatter
- The elliptic trilogarithm and Mahler measures of K3 surfaces
- Morphisms determined by objects and flat covers
- Graev ultrametrics and free products of Polish groups
- Critical values of Rankin–Selberg L-functions for GLn × GLn-1 and the symmetric cube L-functions for GL2
- Simple connectivity in polar spaces
- On the μ-invariant of Katz p-adic L-functions attached to imaginary quadratic fields
- Non-existence of certain Einstein metrics on some symplectic manifolds
- A note on real algebraic groups
- Coercive and noncoercive nonlinear Neumann problems with indefinite potential
- No universal group in a cardinal
- Finite involution semigroups with infinite irredundant bases of identities