Let X be a linear space. Two affine subsets S and T are parallel if one is

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Let X be a linear space. Two affine subsets S and T are parallel if one is a translate of the other, that is,
S = T + x for some x ∈ X
Show that the relation S is parallel to T is an equivalence relation in the set of affine subsets of X.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:27 AM

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Let X be a linear space. Two affine subsets S and T are parallel if one is

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Let denote the relation is parallel to that i...View the full answer

Foundations of Mathematical Economics

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