In this paper we introduce the notion of generalized weak embedding in order to characterize the ... more In this paper we introduce the notion of generalized weak embedding in order to characterize the sub-Grassmann spaces G(H) of Grassmann spaces G(K), H a subdivision ring of the division ring K.
The authors give a combinatorial characterization of the Grassmannian Gr(m,1,K), which represents... more The authors give a combinatorial characterization of the Grassmannian Gr(m,1,K), which represents the lines of a projective space PG(m,K), in terms of the incidence structure of points and lines. In particular, they show that there is a close connection between Grassmannians and Tallini sets (a Tallini set T is a set of points of a projective space such that each line not contained in T intersects T in at most two points).
In this paper we introduce the notion of generalized weak embedding in order to characterize the ... more In this paper we introduce the notion of generalized weak embedding in order to characterize the sub-Grassmann spaces G(H) of Grassmann spaces G(K), H a subdivision ring of the division ring K.
The authors give a combinatorial characterization of the Grassmannian Gr(m,1,K), which represents... more The authors give a combinatorial characterization of the Grassmannian Gr(m,1,K), which represents the lines of a projective space PG(m,K), in terms of the incidence structure of points and lines. In particular, they show that there is a close connection between Grassmannians and Tallini sets (a Tallini set T is a set of points of a projective space such that each line not contained in T intersects T in at most two points).
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