Topology and dimension of stable planes: On a conjecture of H. Freudenthal.

DOI10.1515/crll.1983.343.108zbMath0524.57011OpenAlexW4253562676WikidataQ123308860 ScholiaQ123308860MaRDI QIDQ3036305

Rainer Löwen

Publication date: 1983

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002200643

zbMATH Keywords

homology manifoldsdisjoint disks propertystable planesCantor manifoldH-spacesH-multiplicationsBorel-Moore homology groups of a pencil of projective linesdimension of stable planestopological properties of locally compact, connected, topological projective planes

Mathematics Subject Classification ID

Sheaf cohomology in algebraic topology (55N30) Absolute neighborhood retracts (55M15) Homology and cohomology theories in algebraic topology (55N99) Topological nonlinear incidence structures (51H15) Local properties of generalized manifolds (57P05)

Related Items (35)

Stable planes ⋮ Ein Kriterium für topologische Ternärkörper ⋮ Large automorphism groups of 8-dimensional projective planes are Lie groups ⋮ Shear planes ⋮ The topology of smooth projective planes ⋮ On the dimensions of automorphism groups of eight-dimensional ternary fields. II ⋮ On the dimensions of automorphism groups of 8-dimensional ternary fields. I ⋮ Large semisimple groups on 16-dimensional compact projective planes are almost simple ⋮ The skew-hyperbolic motion group of the quaternion plane ⋮ Smooth stable planes ⋮ Actions of almost simple groups on compact eight-dimensional projective planes are classical, almost ⋮ Compact groups on compact projective planes ⋮ Point-regular geometries ⋮ Stiffness in four-dimensional stable planes ⋮ Connected orbits in topological generalized quadrangles ⋮ Pseudo-isotopic contractions and compactness ⋮ On restrictions of automorphism groups of compact projective planes to subplanes ⋮ Planar groups of automorphisms of stable planes ⋮ Quaternion Hermitian planes ⋮ Homogeneous translation groups ⋮ Topology in generalized quadrangles ⋮ Quasi-perspectivities in stable planes ⋮ On homeomorphisms and incidence relations of compact projective planes ⋮ Stabilizers of collineation groups of smooth stable planes ⋮ Duality in stable planes and related closure and kernel operations ⋮ Helmut Salzmann and his legacy ⋮ Compact 16-dimensional projective planes with large collineation groups. III ⋮ Maximality properties of stable partial spreads and of shear planes ⋮ Multigroups and the foundations of geometry ⋮ Charakterisierung der kompakten, zusammenhängenden Moufang-Hughes- Ebenen anhand ihrer Kollineationen ⋮ On the dimensions of automorphism groups of eight-dimensional double loops ⋮ Stable planes admitting a classical motion group ⋮ On the dimensions of automorphism groups of four-dimensional double loops ⋮ A criterion for stability of planes ⋮ Proper actions on cohomology manifolds

This page was built for publication: Topology and dimension of stable planes: On a conjecture of H. Freudenthal.