Compact disconnected planes, inverse limits and homomorphisms
type: Item
instance of: scholarly article
title: Compact disconnected planes, inverse limits and homomorphisms
zbMATH Open document ID: 0653.51015
DOI: 10.1007/BF01318803
author: Theo Grundhöfer
published in: Monatshefte für Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178380
review text: Every compact disconnected projective plane can be written as an inverse limit of finite discrete incidence structures. Every finite projective plane is a continuous epimorphic image of some compact disconnected projective plane. There exist compact disconnected projective planes of Lenz type V which do not admit any continuous epimorphisms onto a finite projective plane.
Mathematics Subject Classification ID: 51H10
Mathematics Subject Classification ID: 51A10
zbMATH DE Number: 4065809
zbMATH Keywords: inverse limit
zbMATH Keywords: compact disconnected projective plane
zbMATH Keywords: continuous epimorphisms
MaRDI profile type: Publication
cites work: Über Homomorphismen projektiver Ebenen
cites work: Q5522002
cites work: Q4767258
cites work: Uniforme projektive Ebenen
cites work: Q4117061
cites work: Cartesian groups, formal power series and Hjelmslev-planes
cites work: Verallgemeinerte Andre-Ebenen mit Epimorphismen auf Hjelmslev-Ebenen
cites work: Automorphism groups of compact projective planes
cites work: Ternary fields of compact projective planes
cites work: Automorphismengruppen von lokalkompakten zusammenhängenden Quasikörpern und Translationsebenen
cites work: Q4007791
cites work: Q5508167
cites work: Q3222326
cites work: Vierdimensionale stabile Ebenen
cites work: Q4064611
cites work: Q3223453
cites work: Eine Klasse unendlicher verallgemeinerter Andre-Ebenen
cites work: Homomorphismen von Translationsebenen
cites work: Spezielle Translationsebenen und ihre Homomorphismen
cites work: Eine Klasse topologischer Fastkörperebenen
cites work: Topological projective planes
cites work: Topological planes
cites work: Q3954435
cites work: Einige Bemerkungen über Divisionsalgebren
cites work: Non-classical triangle buildings
cites work: Valuations on PTR's induced by triangle buildings
cites work: Q4741309
cites work: Lokalkompakte Fastkörper. (Locally compact nearfields)
cites work: On the construction of valued near-fields
cites work: Q5566639
description: scientific article; zbMATH DE number 4065809