The notion of interval semimetric space leads to introduce a geometry whose primitive notions are regions and interval-valued maps, following the A.N. Whitehead's ideas. A Point-free method to complete metric spaces by abstraction processes is proposed. The relations between categories of interval semimetric spaces and metric spaces are investigated.
A note on a Category in Point-free Geometry
MIRANDA, Annamaria
2018
Abstract
The notion of interval semimetric space leads to introduce a geometry whose primitive notions are regions and interval-valued maps, following the A.N. Whitehead's ideas. A Point-free method to complete metric spaces by abstraction processes is proposed. The relations between categories of interval semimetric spaces and metric spaces are investigated.File in questo prodotto:
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