Topological planes
From MaRDI portal
Publication:2526288
DOI10.1016/S0001-8708(67)80002-1zbMath0153.21601OpenAlexW4213207983MaRDI QIDQ2526288
Publication date: 1967
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0001-8708(67)80002-1
Finite affine and projective planes (geometric aspects) (51E15) Topological linear incidence structures (51H10) Research exposition (monographs, survey articles) pertaining to geometry (51-02) General theory of topological geometry (51H05)
Related Items (only showing first 100 items - show all)
A new family of 2-dimensional Laguerre planes that admit \(\mathrm{PSL}_2(\mathbb{R}) \times \mathbb{R}\) as a group of automorphisms ⋮ On the dimensions of automorphism groups of eight-dimensional ternary fields. II ⋮ Projektive Ebenen und Kegelschnitte ⋮ Integrating and differentiating two-dimensional incidence structures ⋮ Continuous planar functions ⋮ Completion of topological loops ⋮ Four-dimensional compact projective planes with collineation group \(N_{6,28}\) ⋮ A sufficient condition for planar partition functions ⋮ Flat projective planes with 2-dimensional collineation group fixing at least two lines and more than two points ⋮ Elementary constructions of locally compact affine planes ⋮ Semi-classical projective planes over half-ordered fields ⋮ Coordinate rings of topological Klingenberg planes. I: The affine perspective ⋮ Topological ternary fields not belonging to a topological projective plane ⋮ On the existence of topological ovals in flat projective planes ⋮ Smooth stable planes ⋮ Semi-biplanes on the cylinder ⋮ Smooth projective translation planes ⋮ Compact groups on compact projective planes ⋮ 4-dimensional compact projective planes with a 5-dimensional nilradical ⋮ Models of topological space geometries ⋮ Half-ovoidal flat Laguerre planes ⋮ Three-dimensional connected groups of automorphisms of toroidal circle planes ⋮ Invertible sharply \(n\)-transitive sets ⋮ Recycling circle planes ⋮ Linear geometries on the Moebius strip: A theorem of Skornyakov type ⋮ Oriented rank three matroids and projective planes ⋮ 𝑛-unisolvent sets and flat incidence structures ⋮ On automorphism groups of toroidal circle planes ⋮ Smooth projective planes ⋮ 4-dimensionale Translationsebenen mit irreduzibler Kollineationsgruppe ⋮ A family of 2-dimensional Laguerre planes of generalised shear type ⋮ Kollineationsgruppen ebener Geometrien ⋮ Zur Klassifikation von Salzmann-Ebenen mit dreidimensionaler Kollineationsgruppe ⋮ Salzmann-Ebenen mit hinreichend vielen Punkt- oder Geradenspiegelungen ⋮ Eine Charakterisierung der klassischen Geometrien ⋮ Topologische Geometrien auf dem Möbiusband ⋮ Homomorphismen komplexer Ternärkörper ⋮ On homeomorphisms and incidence relations of compact projective planes ⋮ Zentrale und axiale Kollineationen in Salzmann-Ebenen ⋮ Lokal desarguessche Salzmann-Ebenen ⋮ Topologische Laguerreebenen, II ⋮ Kompakte vier-dimensionale Ebenen ⋮ Sphärische Kreisebenen ⋮ Topologische Quasimoduln und ihre Geometrien. I ⋮ Zentrale Kreisverwandtschaften und die Heringsche Klassifikation von Möbiusebenen ⋮ Nicht-desarguessche 4-dimensionale Ebenen ⋮ Kollineationsgruppen kompakter, vier-dimensionaler Ebenen ⋮ Zusammenhängende Quasikörper mit Zentrum ⋮ Homogene 4-dimensionale affine Ebenen. (Homogeneous 4-dimensional affine planes) ⋮ Sphärische Kreisebene mit dreidimensionaler nichteinfacher Automorphismengruppe. (Spherical circular plane with three-dimensional non simple automorphism group) ⋮ Projektive Ebenen, die Mannigfaltigkeiten sind. (Projective planes, which are manifolds) ⋮ 4-dimensionale Translationsebenen. (4-dimensional translation planes) ⋮ Moebius planes with locally euclidean circles are flat ⋮ Projektive Darstellung der Moulton-Ebenen ⋮ Kompakte, vier-dimensionale projektive Ebenen mit 8-dimensionaler Kollineationsgruppe ⋮ Die komplex-hyperbolische Ebene ⋮ Stable planes with isotropic points ⋮ Compact 16-dimensional projective planes with large collineation groups. II ⋮ Groups of compact 8-dimensional planes: conditions implying the Lie property ⋮ Helmut Salzmann and his legacy ⋮ Regular parallelisms on \(\mathrm{PG}(3, \mathbb{R} )\) from generalized line stars: the oriented case ⋮ Polaritäten ebener projektiver Ebenen ⋮ Geometric lattices with topology ⋮ Stable planes ⋮ The classification of Kleinewillinghöfer types of \(2\)-dimensional Laguerre planes ⋮ Laguerre and Minkowski planes produced by dilatations ⋮ Automorphism groups of compact projective planes ⋮ Ein Kriterium für topologische Ternärkörper ⋮ Achtdimensionale lokalkompakte Translationsebenen mit mindestens 17- dimensionaler Kollineationsgruppe. (Eight-dimensional locally compact translation planes with at least 17-dimensionally collineation group) ⋮ A construction for topological non-desarguesian affine Hjelmslev planes ⋮ Large automorphism groups of 8-dimensional projective planes are Lie groups ⋮ The topology of smooth projective planes ⋮ Transitive linear groups and nearfields with solubility conditions ⋮ Die affinen Projektivitätengruppen der lokalkompakten zusammenhängenden Translationsebenen. (The affine groups of projectivities of locally compact connected translation planes) ⋮ Topological pseudo-ovals, elation Laguerre planes, and elation generalized quadrangles ⋮ Projektivitätengruppen in angeordneten und topologischen Ebenen. (Groups of projectivities in ordered and topological planes) ⋮ Some classes of topological 3-spaces ⋮ Semiclassical topological flat Laguerre planes obtained by pasting along a circle ⋮ Rotationsflächen-Ebenen. (Planes of surfaces of rotation) ⋮ On topological Tits buildings and their classification ⋮ 4-dimensionale projektive Ebenen mit großer abelscher Kollineationsgruppe. (Four-dimensional projective planes with large abelian collineation group) ⋮ Ebenen der Lenz-Barlotti-Klasse III. 2, die keine Moulton-Ebenen sind. (Planes of Lenz-Barlotti Class III. 2 which are not Moulton planes) ⋮ Ternary fields of compact projective planes ⋮ Compact disconnected planes, inverse limits and homomorphisms ⋮ Die Stellentopologie projektiver Ebenen und Lenz-topologische Ebenen. (On the place topology of projective planes and the Lenz-topological planes.) ⋮ Semiclassical topological flat Laguerre planes obtained by pasting along two parallel classs ⋮ Eine Klasse von achtdimensionalen lokalkompakten Translationsebenen mit großen Scherungsgruppen ⋮ Compact projective planes with homogeneous ovals ⋮ \(R^2\)-planes with 2-dimensional point transitive automorphism group ⋮ Komplexe Schiefparabel-Ebenen ⋮ LR characterization of chirotopes of finite planar families of pairwise disjoint convex bodies ⋮ Die Projektivitätengruppe der Moulton-Ebenen ⋮ Lokalkompakte zusammenhängende Translationsebenen mit großen Sphärenbahnen auf der Translationsachse ⋮ Weakly flag homogeneous stable planes of low dimension ⋮ Achtdimensionale lokalkompakte Tranlationsebenen mit großen Streckungsgruppen ⋮ Homologies and elations in compact, connected projective planes ⋮ Equivariant embeddings of low dimensional symmetric planes ⋮ Eine stueckweise projektive topologische Gruppe im Zusammenhang mit den Moulton-Ebenen ⋮ Central collineations and the parallel axiom in stable planes ⋮ Kompakte, 8-dimensionale projektive Ebenen mit großer Kollineationsgruppe
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sur les groupes doublement transitifs continus. Correction et compléments
- Sections in principal fibre spaces
- Kompakte projektive Ebenen
- Topological projective planes
- Groupes de Lie compacts de transformations de l'espace euclidien et les sphères comme espaces homogènes
- Homomorphismen topologischer projektiver Ebenen
- Topologische Struktur zweidimensionaler projektiver Ebenen
- Topologische Doppelloops
- Topologische distributive Doppelloops
- Topologische Doppelloops und topologische Halbgruppen
- On the non-existence of elements of Hopf invariant one
- Geometric ABA-groups
- Kompakte Ebenen mit einfacher Kollineationsgruppe
- Lokalkompakte zusammenhängende topologische Halbgruppen mit dichter Untergruppe
- Über stetige algebraische Körper
- Zur Begründung der projektiven Geometrie
- Lie groups in the foundations of geometry
- Metric collineations and inverse problems
- Some remarks concerning topologically homogeneous spaces
- On finite affine line transitive planes
- Zur Klassifikation topologischer Ebenen. I, II
- Polaritäten von Moulton-Ebenen
- Kollineationsgruppen ebener Geometrien
- Zur Klassifikation topologischer Ebenen. III
- Characterization of the three classical plane geometries
- Sequences of coverings
- Über projektive Ebenen vom Lenz-Barlotti-Typ III
- Sur les groupes doublement transitifs continus
- Kleiner Desarguesscher Satz und Dualität in projektiven Ebenen
- The Fundamental Group of One-Dimensional Spaces
- On the structure of connected locally bicompact groups
- Pseudo-Isotopically Contractible Spaces
- Splitting in topological groups
- Metrizations of Projective Spaces
- Homologie et cohomologie des algèbres de Lie
- Simply Connected Homogeneous Spaces
- Order and Topology in Projective Planes
- Zur topologischen Kennzeichnung von Körpern
- Homogeneity of Projective Planes
- Projective Planes
- A generalization of Moore’s theorem on simple triods
- Kompakte zweidimensionale projektive Ebenen
- Kompakte zweidimensionale projektive Ebenen
This page was built for publication: Topological planes