Transfinite methods in geometry | Zendy

Albrecht Beutelspacher | Zendy; Peter J‎. Cameron | Zendy

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Transfinite methods in geometry

Author(s) -

Albrecht Beutelspacher,

Peter J‎. Cameron

Publication year - 1994

Publication title -

bulletin of the belgian mathematical society - simon stevin

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 31

eISSN - 2034-1970

pISSN - 1370-1444

DOI - 10.36045/bbms/1103408579

Subject(s) - transfinite number , mathematics , algebra over a field , geometry , pure mathematics , calculus (dental) , computer science , orthodontics , medicine

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.

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