In this paper we improve on a result of Beutelspacher, De Vito & Lo Re, who characterized in 1995 finite semiaffine spaces by means of transversals and a condition on weak parallelism. Basically, we show that one can delete that condition completely. Moreover, we extend the result to the infinite case, showing that every plane of a planar space with atleast two planes and such that all planes are semiaffine, comes from a (Desarguesian) projective plane by deleting either a line and all of its points, a line and all but one of its points, a point, or nothing
A linear space S is said to be H-semiaffine if for any nonincident point-line pair (p,L) the numb...
A linear space S is said to be H-semiaffine if for any nonincident point-line pair (p,L) the numb...
AbstractWe restrict the possible parameter sets for regular semiovals, and we prove that for regular...
In this paper we improve on a result of Beutelspacher, De Vito & Lo Re, who characterized in 1995 fi...
AbstractA semiaffine space will be defined as an incidence space in which each plane is a semiaffine...
An h-semiaffine plane is a linear space with the following property: For any non-incident point-line...
A locally compact stable plane of positive topological dimension will be called semiaffine if for ev...
A locally compact stable plane of positive topological dimension will be called semiaffine if for ev...
A locally compact stable plane of positive topological dimension will be called semiaffine if for ev...
An A -semiaffine plane is a linear space with the property that the number π(P,l) of lines through ...
An A -semiaffine plane is a linear space with the property that the number π(P,l) of lines through ...
Let (S,L) be a finite linear space, that is, a finite set S whose elements we call points, and L a f...
Let (S,L) be a finite linear space, that is, a finite set S whose elements we call points, and L a f...
Let (S,L) be a finite linear space, that is, a finite set S whose elements we call points, and L a f...
AbstractIn this note finite weakly {s,t}-semiaffine linear spaces are studied. If there is a good po...
A linear space S is said to be H-semiaffine if for any nonincident point-line pair (p,L) the numb...
A linear space S is said to be H-semiaffine if for any nonincident point-line pair (p,L) the numb...
AbstractWe restrict the possible parameter sets for regular semiovals, and we prove that for regular...
In this paper we improve on a result of Beutelspacher, De Vito & Lo Re, who characterized in 1995 fi...
AbstractA semiaffine space will be defined as an incidence space in which each plane is a semiaffine...
An h-semiaffine plane is a linear space with the following property: For any non-incident point-line...
A locally compact stable plane of positive topological dimension will be called semiaffine if for ev...
A locally compact stable plane of positive topological dimension will be called semiaffine if for ev...
A locally compact stable plane of positive topological dimension will be called semiaffine if for ev...
An A -semiaffine plane is a linear space with the property that the number π(P,l) of lines through ...
An A -semiaffine plane is a linear space with the property that the number π(P,l) of lines through ...
Let (S,L) be a finite linear space, that is, a finite set S whose elements we call points, and L a f...
Let (S,L) be a finite linear space, that is, a finite set S whose elements we call points, and L a f...
Let (S,L) be a finite linear space, that is, a finite set S whose elements we call points, and L a f...
AbstractIn this note finite weakly {s,t}-semiaffine linear spaces are studied. If there is a good po...
A linear space S is said to be H-semiaffine if for any nonincident point-line pair (p,L) the numb...
A linear space S is said to be H-semiaffine if for any nonincident point-line pair (p,L) the numb...
AbstractWe restrict the possible parameter sets for regular semiovals, and we prove that for regular...