Abstract
In this note we compare the axiomatic of the spaces with convexity in the sense of V.W. Bryant and R.J. Webster [3], [4], [5] to the axiomatic of the (plane) geometry after Hilbert.
We find that the system of axioms of the spaces with convexity is the adaptation to the infinite dimensional case of the system formed by the first two groups of axioms: of incidence and of order. The spaces with convexity may be regarded as infinite dimensional non-Euclidean spaces.
Authors
Radu Precup
Faculty of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania
English title
On the axiomatic of spaces with convexity
Keywords
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Cite this paper as:
R. Precup, Sur l’axiomatique des espaces à convexité, Rev. Anal. Numer. Theor. Approx., 9 (1980) no. 2, pp. 95-103.
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Academia Republicii S.R.
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MR: 83c:52003.
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References
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