Quasifibrations
type: Item
instance of: scholarly article
title: Quasifibrations
zbMATH Open document ID: 0860.51004
author: Norman L. Johnson
author: Vikram Jha
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1996-11-07T00:00:00Z
full work available at URL: https://eudml.org/doc/119068
review text: The authors introduce the notion of ``quasi-fibration''. They show that a quasifibration is either a spread or a maximal partial spread. (If a spread is considered to be a maximal partial spread, a quasifibration can be said to be a maximal partial spread.) The (maximal) partial spreads are defined in terms of vector spaces over possibly infinite fields. Much of the theory of translation planes (spreads), translation nets (partial spreads), and net replacement was developed for the finite case. A finite field is an algebraic extension of a prime field. Much of this works as well for infinite fields which are algebraic extensions of certain subfields. The authors use this idea to construct quasifibrations and to develop a theory of quasifibrations.
Mathematics Subject Classification ID: 51E23
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51A40
zbMATH DE Number: 942757
zbMATH Keywords: spread
zbMATH Keywords: maximal partial spread
zbMATH Keywords: quasifibrations
reviewed by: Theodore G. Ostrom
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 942757