| 1. | The homography group on this projective line is the modular group.
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| 2. | Topologically, the real projective line is homeomorphic to the circle.
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| 3. | The real projective line is the boundary of the hyperbolic plane.
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| 4. | The real projective line is the set of all equivalence classes.
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| 5. | The M�bius transformations are the projective transformations of the complex projective line.
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| 6. | This is also the function field of the projective line.
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| 7. | These transformations of the real projective line are called homographies.
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| 8. | The projective line over a division ring results in a single auxiliary point.
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| 9. | S where S is isomorphic to the projective line.
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| 10. | These are the geometric transformations of the projective line.
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