By Fred Van Oystaeyen
Presenting the fabric in a simple, colloquial sort to facilitate realizing, the e-book starts with an creation to classification conception, through a bankruptcy on noncommutative areas. This bankruptcy examines noncommutative lattices, noncommutative opens, sheaf conception, the generalized Stone area, and Grothendieck topology. the writer then stories Grothendieck specific representations to formulate an summary proposal of "affine open". the ultimate bankruptcy proposes a dynamical model of topology and sheaf thought, offering at the least one answer of the matter of sheafification self sustaining of generalizations of topos theory.
By featuring new rules for the advance of an intrinsically noncommutative geometry, this ebook fosters the additional unification of alternative types of noncommutative geometry and the expression of observations that contain ordinary phenomena.
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