MathDB
0311 f: points -> lines 1-1 3rd edition Round 1 p1

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May 9, 2021
geometryalgebra3rd edition

Problem Statement

Let PP be the set of points in the Euclidean plane, and let LL be the set of lines in the same plane. Does there exist an one-to-one mapping (injective function) f:L→Pf : L \to P such that for each ℓ∈L\ell \in L we have f(ℓ)∈ℓf(\ell) \in \ell?
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