Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990
Association of Mizar Users
Incidence Projective Spaces

Wojciech Leonczuk

Warsaw University, Bialystok

Supported by RPBP.III24.C6.

Krzysztof Prazmowski

Warsaw University, Bialystok

Supported by RPBP.III24.C2.
Summary.

A basis for investigations on
incidence projective spaces. With every projective space defined in terms
of collinearity relation we associate the incidence structure consisting of
points and of lines of the given space. We introduce
general notion of projective space defined in terms of incidence and
define several properties of such structures (like satisfability of the
Desargues Axiom or conditions on the dimension).
MML Identifier:
INCPROJ
The terminology and notation used in this paper have been
introduced in the following articles
[4]
[1]
[6]
[7]
[5]
[3]
[2]
Contents (PDF format)
Bibliography
 [1]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Wojciech Leonczuk and Krzysztof Prazmowski.
Projective spaces.
Journal of Formalized Mathematics,
2, 1990.
 [3]
Wojciech Skaba.
The collinearity structure.
Journal of Formalized Mathematics,
2, 1990.
 [4]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [5]
Wojciech A. Trybulec.
Axioms of incidency.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [7]
Edmund Woronowicz.
Relations defined on sets.
Journal of Formalized Mathematics,
1, 1989.
Received October 4, 1990
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