Arithmetic progression topologies
id:
arithmetic-progression-topologies-256-3266872
title:
Arithmetic progression topologies
text:
In general topology and number theory, branches of mathematics, one can define various topologies on the set Z of integers or the set Z > 0 of positive integers by taking as a base a suitable collection of arithmetic progressions, sequences of the form { b , b + a , b + 2 a , . . . } or { . . . , b − 2 a , b − a , b , b + a , b + 2 a , . . . } . The open sets will then be unions of arithmetic progressions in the collection. Three examples are the Furstenberg topology on Z , and the Golomb topolo
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https://en.wikipedia.org/wiki/Arithmetic_progression_topologies
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date modified:
2023-10-13T06:12:53Z
main entity:
{"identifier":"Q3993517","url":"https://www.wikidata.org/entity/Q3993517"}
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