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Semi-metrics, closure spaces and digital topology
1995
Theoretical Computer Science
We investigate certain generalized topological structures, with the aim of showing that they can provide a suitable framework within which to compare various approaches to digital topology (including tolerance geometry) with "ordinary" topology. Within an appropriate category of these structures, ordinary spaces arise as inverse limits of digital spaces. In the first instance, the structures can be taken to be (a slight generalization of) tech closure spaces. The structures of this type which
doi:10.1016/0304-3975(95)00053-y
fatcat:olklenlncbe7zbwl4tmyepn3sy