An embedding theorem for finite planar spaces

Autor: Paola Biondi
Rok vydání: 1998
Předmět:
Zdroj: Rendiconti del Circolo Matematico di Palermo. 47:265-276
ISSN: 1973-4409
0009-725X
Popis: LetS be a finite planar space such that any two distinct planes intersect in a line. We show thatk≤n 2+1 for anyk-cap ofS, wheren is the order ofS. Moreover, if a (n 2+1)-cap exists inS, a necessary and sufficient condition is provided forS to be embeddable in a 3-dimensional projective space.
Databáze: OpenAIRE