On relative position in extensions of combinatorial geometries (Q1077422)

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scientific article; zbMATH DE number 3957126
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English
On relative position in extensions of combinatorial geometries
scientific article; zbMATH DE number 3957126

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    On relative position in extensions of combinatorial geometries (English)
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    1988
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    The paper gives a complete combinatorial description of all possible positions of a geometric subspace (a flat) relative to a given geometric figure. The description develops in three stages of increasing generality. A first description uses modular filters; a second uses geometric quotients; the final and most complete description requires quotient bundles.
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    modular filters
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    geometric quotients
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    quotient bundles
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    combinatorial geometry
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    matroids
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