Vector hulls of affine spaces and affine bundles (Q941655)

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scientific article; zbMATH DE number 5319037
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English
Vector hulls of affine spaces and affine bundles
scientific article; zbMATH DE number 5319037

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    Vector hulls of affine spaces and affine bundles (English)
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    2 September 2008
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    The paper provides a general categorical language for some fundamental constructions connecting affine spaces, projective spaces and vector spaces over commutative fields. The central notion is that of a vector hull, defined for a given affine map of an affine space into a vector space, satisfying a universal property. Applications are given for bundles with fibres of that type of spaces.
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    affine space
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    projective space
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    vector space
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    universal property
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    vector hull
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    bundle construction
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