Projective plane and the Lacanian subject — a few examples

The projective plane is a non-orientable surface which is not representable (can be merged) in our usual three-dimensional space. After returning to a few definitions and properties of the projective plane, I'll give a few examples of uses that Jacques Lacan make of that topological object. These include representations involving the subject of the unconscious. However what is presented is not a formal mathematical work and includes trivialisations which can go against mathematicians. Jacques B.Siboni

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