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projective space

space of 1-dimensional linear subspaces (lines passing through the origin) in a vector space

en-US/pɹəˈd͡ʒɛktɪv ˈspeɪs/
en-GB/pɹəˈd͡ʒɛktɪv ˈspeɪs/

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Grassmanniantoric varietyprojective varietyrational varietyProj constructionprojectivization