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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.
email: ari@wsu.edu
W. C. DAVIDON
Department of Mathematics, Haverford College
Haverford, PA 19041, U.S.A.
email: wdavidon@haverford.edu
and K. D. McKENNON
775 SE Edge Knoll Drive
Pullman, WA 99163, U.S.A.
email: zhisheng@turbonet.com
(Received (date to be inserted later); revised (date to be inserted later))
Abstract
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.
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