The paper investigates basic cohomology properties of the sheaf of locally LIP functions in the Kirch topology on natural numbers.
Szczuka, The connectedness of arithmetic progressions in Furstenberg’s, Golomb’s, and Kirch’s topologies,Demonstratio Math.43(4) (2010), 899–909
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A Structure Sheaf for Kirch Topology
The paper investigates basic cohomology properties of the sheaf of locally LIP functions in the Kirch topology on natural numbers.