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2025 Technical Report

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論文代碼

TR-IIS-25-001

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Projective Space as a Set with a Group of Permutations: Revised Version
Kelly McKennon

Definitions of the projective group and the projective space upon which it acts are given, and it is shown that these definitions are equivalent to the standard ones. The definitions presented here are fundamental in the sense that they do not depend on less primitive notions such as field and linear space. This differs from the preliminary version in part in that there is here one fewer axiom.

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