The sheaf representation of an arbitrary lattice

Harold Simmons (Manchester)


In 1936 M.H. Stone showed how each boolean algebra can be represented
as the clopen subsets of an associated topological space, now called
its stone space or its spectrum.

A year later he extended this idea to a representation of distributive lattices.

I will show how to generalize this representation to an arbitrary
lattice using a sheaf representation or an equivalent,  and better, display space.

You need not know what is a sheaf nor a display space. I will explain
some of these ideas as they are need for this.

This is an introduction to the idea of this kind of representation.

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