Trans finite methods in geometry

A. Beutelspacher, P. J. Cameron

Research output: Contribution to journalArticlepeer-review

Abstract

Some very difficult questions in finite geometry (for example, concerning ovoids, spreads, and extensions) have fairly trivial resolutions in the infinite case, by standard transfinite induction. We give some old and new results of this kind, and a number of open questions. The paper is expository in nature, and is intended to illustrate the technique rather than give the most general applications.

Original languageEnglish
Pages (from-to)337-347
Number of pages11
JournalBulletin of the Belgian Mathematical Society - Simon Stevin
Volume1
Issue number3
Publication statusPublished - 1 Jan 1994

Keywords

  • Blocking sets
  • Extensions
  • Ovoids
  • Spreads
  • Transfinite methods

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