Projective Geometry over F1 and the Gaussian Binomial Coefficients Henry Cohn 1. INTRODUCTION. There is no field with only one element, yet there is a welldefined notion of what projective geometry over such a field mean

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• Homological algebra
• Noncommutative geometry
• Algebraic geometry
• Algebraic topology
• Alain Connes
• Norwegian Academy of Science and Letters
• Hopf algebra
• Cyclic homology
• Field with one element
• Abstract algebra
• Mathematics
• Algebra