Listar por tema "p-adic numbers"
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On the Cantor and Hilbert cube frames and the Alexandroff-Hausdorff theorem
(2021-10-01)The aim of this work is to give a point-free description of the Cantor set. It can be shown that the Cantor set is homeomorphic to the p-adic integers for every prime number p. To give a point-free description of the Cantor ... -
The frame of the p-adic numbers and a p-adic Version of the Stone-Weierstrass Theorem in Pointfree Topology
(2020-03-15)The algebraic nature of a frame allows its definition by generators and relations. Joyal used this to introduce the frame of the real numbers and Banaschewski studied this frame with a particular emphasis on the pointfree ...