Summary: One-dimensional projective space: avatar of a meridian
By K. A. ARIYAWANSA
Department of Mathematics, Washington State University,
Pullman, WA 99164-3113, U.S.A.
W. C. DAVIDON
Department of Mathematics, Haverford College
Haverford, PA 19041, U.S.A.
and K. D. McKENNON
775 SE Edge Knoll Drive
Pullman, WA 99163, U.S.A.
(Received (date to be inserted later); revised (date to be inserted later))
We demonstrate that one-dimensional projective space over a commutative field
of characteristic different from 2 may be defined quite simply as a geometrical
object which we term a meridian. This definition has shown itself useful in char-
acterization of certain algebraic objects as intrinsic geometric entities in contexts
that required a geometric focus. Similar future applications are foreseen.