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A Topological Representation Theory

by K1 (aka Chris Kermiet)

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A Topological Representation Theory
Poem-of-the-month, October 2021, @
poemofthemonth.us

Citations:
The Theory of Representations for Boolean Algebras
www.ams.org/journals/tran/1936-040-01/S0002-9947-1936-1501865-8/S0002-9947-1936-1501865-8.pdf
Stone Representation Theorem for Boolean Algebras
math.uchicago.edu/~may/REU2015/REUPapers/deOliveira.pdf
Stone Representation Theorem for Boolean Algebras

lyrics

A topological duality theory
for distributive lattices
generalizes representation theory
for Boolean algebras.

Prime ideals of a distributive lattice
are isomorphically represented.

Duality theory is simplified
by taking the dual space presented
by defining an ordered family of sets
and their complements.

Distributive lattices are then exactly
compact totally order-disconnected spaces.

credits

released October 1, 2021

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K1 Denver, Colorado

K1 (aka Chris Kermiet) has had several careers in his lifetime: as a jazz performer and arranger, a rock drummer and record producer, a traditional dance caller and teacher (contras, squares, English Country Dance), and as a composer (primarily electronic and choral music). He's been writing poems since his early 20's, and has been putting them online, one per month, for the last 7 years. ... more

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