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Basic properties of restricted linear spaces. (English) Zbl 0311.05018


MSC:

05B25 Combinatorial aspects of finite geometries
46Axx Topological linear spaces and related structures
51N10 Affine analytic geometry
Full Text: DOI

References:

[1] Bouten, M.; de Witte, P., A new proof of an inequality of Szekeres, de Bruijn and Erdös, Bull. Soc. Math. Belg., 17, 475-483 (1965) · Zbl 0156.19605
[2] Bruen, A., The number of lines determined by \(n^2\) points, J. Combin. Theory, 15, A, 225-241 (1973) · Zbl 0259.05006
[3] Dembowski, P., Finite Geometries (1968), Springer: Springer Berlin · Zbl 0159.50001
[4] Hanani, W., On the number of straight lines determined by \(n\) points, Riveon Lematematika, 5, 10-11 (1961), (in Hebrew with English summary)
[5] Totten, J.; de Witte, P., On a Paschian condition for linear spaces, Math. Z., 137, 173-183 (1974) · Zbl 0255.50014
[6] de Witte, P., Combinatorial properties of finite plans, (Doctoral Dissertation (1965), University of Brussels: University of Brussels Dutch) · Zbl 0145.16902
[7] de Witte, P., A new property of non-trivial finite linear spaces, Bull. Soc. Math. Belg., 18, 430-438 (1966) · Zbl 0158.19403
[8] P. de Witte, Combinatorial properties of finite linear spaces II, Bull. Soc. Math. Belg., to appear.; P. de Witte, Combinatorial properties of finite linear spaces II, Bull. Soc. Math. Belg., to appear. · Zbl 0145.16901
[9] P. de Witte, Restricted linear spaces with a square number of points, Simon Stevin, to appear.; P. de Witte, Restricted linear spaces with a square number of points, Simon Stevin, to appear. · Zbl 0354.50016
[10] P. de Witte, On the embeddability of linear spaces in projective planes of order \(n\); P. de Witte, On the embeddability of linear spaces in projective planes of order \(n\)
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