Abstract
Affine spaces have the serious inconvenience that certain theorems have exceptional cases, for instance when lines become parallel. Projective spaces were created by Desargues in 1639 to remedy this situation. The affine space is completed with points at infinity which correspond to the directions of straight lines. Then one needs to know how to come back to the original affine space. This program is carried out here in two steps: Chapters 4 and 5.
All fields considered here are commutative.
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© 1984 Marcel Berger
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Berger, M., Pansu, P., Berry, JP., Saint-Raymond, X. (1984). Projective Spaces. In: Problems in Geometry. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1836-2_4
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DOI: https://doi.org/10.1007/978-1-4757-1836-2_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2822-1
Online ISBN: 978-1-4757-1836-2
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