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math.CT2013★ 9 cited
Distributive inverse semigroups and non-commutative Stone dualities
Mark V Lawson, Daniel H Lenz
We develop the theory of distributive inverse semigroups as the analogue of distributive lattices without top element and prove that they are in a duality with those etale groupoid…
math.CT2011★ 1 cited
Pseudogroups and their etale groupoids
Mark V. Lawson, Daniel H. Lenz
A pseudogroup is a complete infinitely distributive inverse monoid. Such inverse monoids bear the same relationship to classical pseudogroups of transformations as frames do to top…