Baskets [of securities] form a vector space…. A portfolio is … an equivalence class of baskets containing assets in the same proportions.… [Since] parameters … depend on proportions … rather than … actual values,… portfolios form a projective space.

Edward W. Piotrowski and Jan Sładkowski, *Geometry of Financial Markets*

In fact this could be said of any economic price ratios, in or outside finance.

When history trips the threshold of price space into the region where `farm productivity`

> `cost of plow`

& `oxen`

> `wealth of five families`

, then villages happen.

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Tags: bet sizing, finance, mathematics, portfolio, projective geometry, ratio, society, vector space

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