The proof of the isomorphism of the $\pmb n$ - dimensional projective spaces defined axiomatically

V. Balint, P. Gresak, M. Kastiel, J. Katerinak

Address. University Zilina, 01026 Zilina, SLOVAK REPUBLIC

E-mail: balint@fpedas.utc.sk

gresak@fpedas.utc.sk

Abstract. The paper gives a proof (without of using of "great" Desargues' axiom) that any two axiomatically defined {\mit n} - dimensional projective spaces are isomorphic.

AMSclassification. 51A35

Keywords. isomorphism, projective space