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Affine Spaces

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Book cover Tensor Geometry

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 130))

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Abstract

Our geometrical idea (I.1.01) of a vector space depended on a choice of some point 0 as origin. However, just as for bases, there may be more than one plausible choice of origin. Similarly, it may be useful to avoid committing oneself on the question (a fact discovered by Galileo). For this purpose, and for the sake of some language useful even when we have an origin, we shall consider affine spaces.

“Let the thought of the dharmas as all one bring you to the So in Itself: thus their origin is forgotten and nothing is left to make us pit one against another.”

Seng-ts’an

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© 1991 Springer-Verlag Berlin Heidelberg

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Dodson, C.T.J., Poston, T. (1991). Affine Spaces. In: Tensor Geometry. Graduate Texts in Mathematics, vol 130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10514-2_3

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  • DOI: https://doi.org/10.1007/978-3-642-10514-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-13117-6

  • Online ISBN: 978-3-642-10514-2

  • eBook Packages: Springer Book Archive

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