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Partial linear space
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Partial linear space : ウィキペディア英語版
Partial linear space
A partial linear space (also semilinear or near-linear space) is a basic incidence structure in the field of incidence geometry, that carries slightly less structure than a linear space.
The notion is equivalent to that of a linear hypergraph.
==Definition==
Let S=(,, \textbf) an incidence structure, for which the elements of are called ''points'' and the elements of are called ''lines''. ''S'' is a partial linear space, if the following axioms hold:
* any line is at least incident with two points
* any pair of distinct points is incident with at most one line

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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