Blood types form a topological space (and a complete distributive lattice). There are three generators: **A**, **B**, and **Rh+**.

Above the “zero element” is the universal donor **O−** and the “unit element” is the universal receiver **AB+**.

A **topological space** contains a zero object, maybe other objects, and all unions **∪** & intersections **∩** of anything in the space. So taking the power set **℘** of **{A, B, +}** yields the “power set topology” which I drew above. **AB+** is the **1** object and “nullset” **O−** is the **0** object.

A **lattice** has joins **∨** & meets **∧** which function like **∪** and **∩** in a topological space. Like **1** or **True** in a Heyting algebra, blood type as a power-set topology has one “master” object **AB+**.

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Tags: 1, anatomy, blood type, lattice, mathematics, medicine, order, partial ordering, partially ordered set, partially ordered sets, poset, posets, power set, set, topological space, topology

This entry was posted on May 2, 2011 at 2:00 pm and is filed under Uncategorized. You can follow any responses to this entry through the RSS 2.0 feed.
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